airpod case is stuck for good

Your best option may be to make an appointment at the Genius Bar in an Apple Store near you and let them look at it:

Genius Bar Reservation and Apple Support Options - Apple

miaissofineee Said:

"airpod case is stuck for good: omg someone plszs help my airpod case is stuck on the top of it. the case is from shein and it’s like rock hard plastic. someone please give me tips!!!"

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Verifying Genuine AirPods:

If have such trebles as a locked AirPods case, see if these are ungenuine.

1. Get the Serial Number: Find the Serial Number of your AirPods - Apple Support
2. Enter the Serial Number here: https://checkcoverage.apple.com/.
3. View the Results: If all shows up as an AirPod, then you are fine. If not, then these are fake, and that is likely why you are getting the issue of connectivity.