Replace ATMEGA328P-AU chips

I bought a usbASP programmer from eBay and every Nano I tried to burn a new bootloader, the Nano died. I have a small pile of them now. No more heartbeat when powered on.

I bought new 328's to fix them, assuming the usbASP had blown them, replaced the chips but still no heartbeat.

I was under the impression that the ATMEGA chips produce a short heartbeat on startup regardless of whether a bootloader is installed.

Is this correct?

You are replacing 328P chips on Nano's ?

Arduino or clone?

What happens when you power up the Nano and then push the reset button momentarily?
Some clones do not flash the led when initially powered up.

What message do you get when burning the bootloader?