Do you know of a Multiple-message Voice Recording Module?

I'm looking for a voice recording module that can store and play at least 3 messages.

The one I'm using right now is the ISD1820, its part of the ISD1800 voice-recording-module series, and they only store one message at a time.

I need to find a module that can store 3 messages of 2-second duration each.

Arduino Experts, I call upon thee for aid!

You can have as many messages of whatever long as they fit on your micro SD card.

Is there a version that's compatible with Arduino Nano?

The link you posted says it "Works with Arduino Uno, Mega, or Leonardo."