Can't think of the name of the movie but its an Asian guy who can dodge bullets by listening, and he eventually tries to teach someone else (we think either Chris Rock or Eddie Murphy) Help its driving us crazy!
I think it's Bulletproof Monk with Chow-Yun Fat and Seann William Scott.
You're almost certainly thinking of Remo:The Adventure begins, also released as Remo:Unarmed and Dangerous.
The Asian guy (Chiun) actually listens for the creaking tendons in the wrist of attackers as they tense their finger on the gun's trigger, he attempts to teach this technique to Remo (played by Fred Ward) as part of his training, although we never see him use it.
Also notable for an early career appearence by a very cute Kate Mulgrew (Captain Janeway - Star Trek Voyager).