I'm looking for a company with a CNC router that can work with CAM (Computer Aided Manufacturing) files to carve a design out of plywood.

Any good addresses?

If you know the decoration market on Changhong Lu. As you drive SW down Changhong Lu, opposite the market, i think it is at the most west end, at the intersection with Dongju Lu. On the right hand side of Changhong Lu is a building with CNC in huge letters on a huge roof hoarding. I think, but don't know for sure, that they do CNC cutting. I have been meaning to go in and check.
I also wouldn't know if they do CAM, but it may be worth a shot.

If you do go, please let us know the outcome.

good infos. Do you know what CNC actually stands for?

Computer(ized) Numerical Control