Hello, I just set up this account because I couldn't find a solution from all my searches.
I have been using the Arduino IDE to program a Mega board for a while and had no problems. Now I purchased a Nano board to use for a more compact project and I was having trouble uploading my program. I decided to return to the basic blink sketch to narrow down where the issue is occurring and the same thing is happening. The error is posted below. This is with show verbose output during compilation and upload enabled. Also, the board is selected as the Nano, the processor is set at "ATmega328P" and the Nano is recognized in COM3.
Please let me know if you have any suggestions or if further clarification would help.
Arduino: 1.8.15 (Windows 10), Board: "Arduino Nano, ATmega328P"
Edit: If anyone finds this and needs a solution heres what I did. First my computer was recognizing that the board was plugged in, but not actually connecting it to the COM port, I needed to install the driver found here: CH341SER.EXE - 南京沁恒微电子股份有限公司 After that, I ran into more errors, found below. You then need to go to Tools > Processor > ATmega328P (Old Bootloader) I bought my board from Amazon which apparently runs some older code so I need to use this older driver. Good luck to anyone reading this 
Errors:
C:\Users\braed\Desktop\Arduino\arduino-builder -dump-prefs -logger=machine -hardware C:\Users\braed\Desktop\Arduino\hardware -tools C:\Users\braed\Desktop\Arduino\tools-builder -tools C:\Users\braed\Desktop\Arduino\hardware\tools\avr -built-in-libraries C:\Users\braed\Desktop\Arduino\libraries -libraries C:\Users\braed\OneDrive\Documents\Arduino\libraries -fqbn=arduino:avr:nano:cpu=atmega328 -vid-pid=0000_0000 -ide-version=10815 -build-path C:\Users\braed\AppData\Local\Temp\arduino_build_831165 -warnings=none -build-cache C:\Users\braed\AppData\Local\Temp\arduino_cache_87620 -prefs=build.warn_data_percentage=75 -prefs=runtime.tools.avr-gcc.path=C:\Users\braed\Desktop\Arduino\hardware\tools\avr -prefs=runtime.tools.avr-gcc-7.3.0-atmel3.6.1-arduino7.path=C:\Users\braed\Desktop\Arduino\hardware\tools\avr -prefs=runtime.tools.arduinoOTA.path=C:\Users\braed\Desktop\Arduino\hardware\tools\avr -prefs=runtime.tools.arduinoOTA-1.3.0.path=C:\Users\braed\Desktop\Arduino\hardware\tools\avr -prefs=runtime.tools.avrdude.path=C:\Users\braed\Desktop\Arduino\hardware\tools\avr -prefs=runtime.tools.avrdude-6.3.0-arduino17.path=C:\Users\braed\Desktop\Arduino\hardware\tools\avr -verbose C:\Users\braed\Desktop\Arduino\examples\01.Basics\Blink\Blink.ino
C:\Users\braed\Desktop\Arduino\arduino-builder -compile -logger=machine -hardware C:\Users\braed\Desktop\Arduino\hardware -tools C:\Users\braed\Desktop\Arduino\tools-builder -tools C:\Users\braed\Desktop\Arduino\hardware\tools\avr -built-in-libraries C:\Users\braed\Desktop\Arduino\libraries -libraries C:\Users\braed\OneDrive\Documents\Arduino\libraries -fqbn=arduino:avr:nano:cpu=atmega328 -vid-pid=0000_0000 -ide-version=10815 -build-path C:\Users\braed\AppData\Local\Temp\arduino_build_831165 -warnings=none -build-cache C:\Users\braed\AppData\Local\Temp\arduino_cache_87620 -prefs=build.warn_data_percentage=75 -prefs=runtime.tools.avr-gcc.path=C:\Users\braed\Desktop\Arduino\hardware\tools\avr -prefs=runtime.tools.avr-gcc-7.3.0-atmel3.6.1-arduino7.path=C:\Users\braed\Desktop\Arduino\hardware\tools\avr -prefs=runtime.tools.arduinoOTA.path=C:\Users\braed\Desktop\Arduino\hardware\tools\avr -prefs=runtime.tools.arduinoOTA-1.3.0.path=C:\Users\braed\Desktop\Arduino\hardware\tools\avr -prefs=runtime.tools.avrdude.path=C:\Users\braed\Desktop\Arduino\hardware\tools\avr -prefs=runtime.tools.avrdude-6.3.0-arduino17.path=C:\Users\braed\Desktop\Arduino\hardware\tools\avr -verbose C:\Users\braed\Desktop\Arduino\examples\01.Basics\Blink\Blink.ino
Using board 'nano' from platform in folder: C:\Users\braed\Desktop\Arduino\hardware\arduino\avr
Using core 'arduino' from platform in folder: C:\Users\braed\Desktop\Arduino\hardware\arduino\avr
Detecting libraries used...
"C:\Users\braed\Desktop\Arduino\hardware\tools\avr/bin/avr-g++" -c -g -Os -w -std=gnu++11 -fpermissive -fno-exceptions -ffunction-sections -fdata-sections -fno-threadsafe-statics -Wno-error=narrowing -flto -w -x c++ -E -CC -mmcu=atmega328p -DF_CPU=16000000L -DARDUINO=10815 -DARDUINO_AVR_NANO -DARDUINO_ARCH_AVR "-IC:\Users\braed\Desktop\Arduino\hardware\arduino\avr\cores\arduino" "-IC:\Users\braed\Desktop\Arduino\hardware\arduino\avr\variants\eightanaloginputs" "C:\Users\braed\AppData\Local\Temp\arduino_build_831165\sketch\Blink.ino.cpp" -o nul
Generating function prototypes...
"C:\Users\braed\Desktop\Arduino\hardware\tools\avr/bin/avr-g++" -c -g -Os -w -std=gnu++11 -fpermissive -fno-exceptions -ffunction-sections -fdata-sections -fno-threadsafe-statics -Wno-error=narrowing -flto -w -x c++ -E -CC -mmcu=atmega328p -DF_CPU=16000000L -DARDUINO=10815 -DARDUINO_AVR_NANO -DARDUINO_ARCH_AVR "-IC:\Users\braed\Desktop\Arduino\hardware\arduino\avr\cores\arduino" "-IC:\Users\braed\Desktop\Arduino\hardware\arduino\avr\variants\eightanaloginputs" "C:\Users\braed\AppData\Local\Temp\arduino_build_831165\sketch\Blink.ino.cpp" -o "C:\Users\braed\AppData\Local\Temp\arduino_build_831165\preproc\ctags_target_for_gcc_minus_e.cpp"
"C:\Users\braed\Desktop\Arduino\tools-builder\ctags\5.8-arduino11/ctags" -u --language-force=c++ -f - --c++-kinds=svpf --fields=KSTtzns --line-directives "C:\Users\braed\AppData\Local\Temp\arduino_build_831165\preproc\ctags_target_for_gcc_minus_e.cpp"
Compiling sketch...
"C:\Users\braed\Desktop\Arduino\hardware\tools\avr/bin/avr-g++" -c -g -Os -w -std=gnu++11 -fpermissive -fno-exceptions -ffunction-sections -fdata-sections -fno-threadsafe-statics -Wno-error=narrowing -MMD -flto -mmcu=atmega328p -DF_CPU=16000000L -DARDUINO=10815 -DARDUINO_AVR_NANO -DARDUINO_ARCH_AVR "-IC:\Users\braed\Desktop\Arduino\hardware\arduino\avr\cores\arduino" "-IC:\Users\braed\Desktop\Arduino\hardware\arduino\avr\variants\eightanaloginputs" "C:\Users\braed\AppData\Local\Temp\arduino_build_831165\sketch\Blink.ino.cpp" -o "C:\Users\braed\AppData\Local\Temp\arduino_build_831165\sketch\Blink.ino.cpp.o"
Compiling libraries...
Compiling core...
Using precompiled core: C:\Users\braed\AppData\Local\Temp\arduino_cache_87620\core\core_arduino_avr_nano_cpu_atmega328_21c081cfae698bd222995f010c76b5a0.a
Linking everything together...
"C:\Users\braed\Desktop\Arduino\hardware\tools\avr/bin/avr-gcc" -w -Os -g -flto -fuse-linker-plugin -Wl,--gc-sections -mmcu=atmega328p -o "C:\Users\braed\AppData\Local\Temp\arduino_build_831165/Blink.ino.elf" "C:\Users\braed\AppData\Local\Temp\arduino_build_831165\sketch\Blink.ino.cpp.o" "C:\Users\braed\AppData\Local\Temp\arduino_build_831165/..\arduino_cache_87620\core\core_arduino_avr_nano_cpu_atmega328_21c081cfae698bd222995f010c76b5a0.a" "-LC:\Users\braed\AppData\Local\Temp\arduino_build_831165" -lm
"C:\Users\braed\Desktop\Arduino\hardware\tools\avr/bin/avr-objcopy" -O ihex -j .eeprom --set-section-flags=.eeprom=alloc,load --no-change-warnings --change-section-lma .eeprom=0 "C:\Users\braed\AppData\Local\Temp\arduino_build_831165/Blink.ino.elf" "C:\Users\braed\AppData\Local\Temp\arduino_build_831165/Blink.ino.eep"
"C:\Users\braed\Desktop\Arduino\hardware\tools\avr/bin/avr-objcopy" -O ihex -R .eeprom "C:\Users\braed\AppData\Local\Temp\arduino_build_831165/Blink.ino.elf" "C:\Users\braed\AppData\Local\Temp\arduino_build_831165/Blink.ino.hex"
"C:\Users\braed\Desktop\Arduino\hardware\tools\avr/bin/avr-size" -A "C:\Users\braed\AppData\Local\Temp\arduino_build_831165/Blink.ino.elf"
Sketch uses 924 bytes (3%) of program storage space. Maximum is 30720 bytes.
Global variables use 9 bytes (0%) of dynamic memory, leaving 2039 bytes for local variables. Maximum is 2048 bytes.
C:\Users\braed\Desktop\Arduino\hardware\tools\avr/bin/avrdude -CC:\Users\braed\Desktop\Arduino\hardware\tools\avr/etc/avrdude.conf -v -patmega328p -carduino -PCOM3 -b115200 -D -Uflash:w:C:\Users\braed\AppData\Local\Temp\arduino_build_831165/Blink.ino.hex:i
avrdude: Version 6.3-20190619
Copyright (c) 2000-2005 Brian Dean, http://www.bdmicro.com/
Copyright (c) 2007-2014 Joerg Wunsch
System wide configuration file is "C:\Users\braed\Desktop\Arduino\hardware\tools\avr/etc/avrdude.conf"
Using Port : COM3
Using Programmer : arduino
Overriding Baud Rate : 115200
An error occurred while uploading the sketch
