Can a Mac Mini use a MacBook Air CD SuperDrive? Will a MacBook Air SuperDrive work with a new Mac mini? 

The Apple website says it will work with Mac Mini on Snow Leopard server. No mention of New mac mini and OSX Lion.
Only if it doesn't have a built in optical drive. I think the limitation is built into the drive not the OS and as far as my searches have discovered can only be subverted by hardware hacks of the drive.

It's a bummer as it is is a neat little drive and Apple built-in slot loading drives are not that reliable (4 out of 5 of mine have failed over nearly a decade.) On the other hand there are a lot of cheap and ugly 3rd party alternatives which work fine.