Normally I would suggest any popular brand should work fine. I must ask first though, where or what gives you the idea that your current unit is not supported by Linux? Can you point us to a link which explains this, and also, tell us what exact make & model of unit you have currently?
While just about anything is possible, I can't recall ever someone saying a CD or DVD drive was "not compatible". Have you tried yours with Linux? If so, what happened, or in what way did it not work?
For what it's worth, we have Samsungs, Sonys and Pioneer units on the go at my home, and they all work perfect with Linux. I've read of many folks having LG units, and that they seem to work OK as well.
EDIT - and, check out the HCL for working suggestions: http://www.linuxquestions.org/hcl/