During the beta, Blizzard accidentally included a Linux binary of World of Warcraft that worked perfectly. Unfortunately, for whatever reason after that version it was never seen again. They were clearly experimenting with Linux though. It's a shame they never released it that way.
At any rate, I have seen it run on Linux in various Windows emulators before.
Looks like it works under the latest version of Wine using OpenGL with Raphael's Pbuffer patch:
Here's another article:
Oh yeah, be sure to sign this petition for a WoW port to Linux:
By the looks of it, World of Warcraft does not run with 100% stability on Linux but is playable. Hopefully those links will help you out in exploring this further.
It is also possible to run wow on linux. WineX/Cedega supports wow fully. very good program for a very low price. Normally I copy programs but these guys deserve some cash their way so I bought a subscription for it.
Let us know in the forums what your results.