I've been running COH under Cross Over for Mac for several months now and the game is flawless under Crossover.
The only thing I had to do was the mouse pointer trick to make it work.
However with the release of 7.2.0 COH no longer works at all. I run the Updater and then I click Next and then I never get focus back on the window so I can't click the "I Agree" button to actually launch the game.....