Can see my AirPods 3 on Find App

Hello,

Yes, if they are within Bluetooth range:

However, if your AirPods are out of Bluetooth range, out of charge, or in the case with the cover closed, Find My won't give a current location. You just have to find them manually by looking for them. However, Find My may list the most recent location where they were last connected. Note: with iOS 15 other Apple devices can sometimes help to locate missing devices.

See this for more detail:

How to find your lost AirPods, AirPods Pro, or AirPods Max

Good luck.