WoW? The game is 7 years old, it won't take that much to run it.
Yes, you will be able to run it just fine. When I started playing it, I was using an onboard ATI card from 2005, and it ran fine, eve with the new engine updates.
Even now, I still play it on an All-in-One PC (HP Touchsmart 600-1350), it has the type of CPU that doubles as an integrated GPU, and it still runs fine on High.
It lags sometimes when there are a lot of particles on the screen, but otherwise, it's fine.