iPod nano how can i connect it to my apple mac

Why not, what happens when you try?

If you have a Mac with OS Catalina (10:15) or later, use Finder (on the Mac) to manage your iPod. You can also check this Apple article to help with an iPod not being seen by your computer: If your computer doesn’t recognise your iPhone or iPad – Apple Support (UK)

If you are using an Apple Music subscription, you cannot sync any music downloaded as part of that subscription to an iPod Nano.