There are plenty of big name Chinese directors in Hollywood. In my opinion, being the big cheese director running things is more important than the actors themselves. Chinese people give orders, not take them. :lol

Here is a partial list of Chinese (HK, Taiwan, ABC, whoever) who have done big things in Hollywood.

James Wong (The One, X-Files, Final Destination 1 and 3
James Wan (Saw)
Corey Yuen (Dead or Alive, The Transporter)
Ronny Yu (Freddy vs. Jason, Bride of Chucky, Formula 51
Justin Lin (F'nF Tokyo Drift, Annapolis, BLT)
Kirk Wong (The Big Hit)

And of course, I left out some of the really big names because we already know who they are. Also, don't forget about all the stunt choreographers, namely Yuen Wo Ping.