How to sync old iPod touch wirelessly with Mac?

The Computer needs to detect the iPod at least once to turn on Wi-Fi sync.

On a newer Mac the iPod should appear in Finder under Locations assuming the "CDs, DVDs and iPods" option is checked in Finder's Settings.

click here ➜ Sync content between your Mac and iPhone, iPad, or iPod touch over Wi-Fi - Apple Support

BringBackiPod182 wrote:

I have an older PC with iTunes that I had used to sync it previously… would it be possible to turn on Wi-Fi sync without reconnecting the iPod?

No. The option is turned on for the specific iPad when it's detected over a usb cable. It needs to be connected through a Usb cable once to turn on the feature.

Is the "CD's, DVD's and iOS devices" setting checked in the Finder Menu ➜ Settings ➜ SideBar?

Like I said before, I believe the issue may be with the iPod’s 30-pin connector. I have checked the finder when connecting the iPod before on my Mac (it is running Sonoma) but it wasn’t even registering on the iPod. The situation is similar on windows, as it is not detected by the PC or iTunes. And just for clarification, I have used several cords.

It is possible the iPod's port has been damaged. Does it not charge either when connected?

On a PC, a small device icon should appear in iTunes, unless you have downloaded any of Apple's other apps like TV, Apple Music or the Devices App.

If you have any of the stand alone apps, iTunes is then limited to Podcasts and Audiobooks and syncing and settings for the iPad are then done in the Devices App.