Hi jlvk,
Thanks for coming to Apple Support Communities for help getting your MacBook Air to recognize your SuperDrive.
Are you connecting with an adapter? How to connect the Apple USB SuperDrive. If so, can you try a different adapter?
Have you restarted your MacBook Air? Do so once more if you have, but reset the SMC at the same time: How to reset the SMC of your Mac.
If that still doesn't resolve the issue, test the SuperDrive inside a new user account to isolate the issue further: Set up users, guests and groups on Mac.
Let us know how it goes.
Have a fantastic day!