From the FCP product page, "Digital Cinema Display works with any DVI-enabled device"
So, in other words, it
should work just fine.
That being said, that setup won't be accurate for color correcting and/or finishing. For that you need to look into some of the external I/O boxes, like the Matrox MXO. (the others have fallen out of my brain). (actually, the MXO is just an "O" box, there's no "I"....but I digress)
There's a lot more to the I/O boxes, like which monitors work best, and I'm not the one to trundle down that path. Others here are more knowledgeable (Shane comes to mind).
deb