Well, there is always the tried and true method of just pretending like whatever happened, didn't.  Just go on communicating with him as if you never had an argument.  That seems to be the popular way to handle things in China.

Or... You could try just facing the problem head on.  Throw all emotion out the window, gather your argument, both pros and cons, anticipate his counter arguments and develop counter-counter arguments in your head.  Then walk into his office, close the door and calmly present your case.  If he gets irate and goes nuts, it will be him that loses face and not you.  Otherwise, because you have thoroughly prepared your points and counter points ahead of time, he will most likely concede the situation to you, or he will once again lose face for being irrational.

If logic doesn't win, then just walk away knowing they type of person you are dealing with that much better.

I am not trying to generalize here, but I don't know of a single partnership between Chinese and foreigners that has ever worked out well.  Trust is a weakness.  Courtesy is a weakness.  Win-win is a loss.  Win-total loss is the only thing that equals a win.

Try reading "The Art of War" sometime to better understand how Chinese see business.

Or you could just pretend you are married

and say sorry even though it was not your fault

Have your co-workers beat him into submission until he apologizes, co-workers happy, you happy, everything is good, hope you enjoyed the fantasy.

I'd walk in with a white flag, tell him you both have to get along, tell him you think he wronged you but you are the bigger man and want to forget it. In the bigger picture it doesn't matter. The sun still came up this morning.

 Then in 2 weeks , take him out drinking, get him really drunk and kick the shit out of him.

Yeah I agree with XpatJohn - it will drive your boss nuts if he sees you were not phased by his BS.  Then quietly start looking for a better job and then just pack up and leave one night after he goes home without any notice.  The face he loses will never be recovered by the sudden move.

Maybe stop using exclamation marks !!!!!!!!!!!!! All the time!!!!!!!!!!! If you do this when speaking then people will want to know why you're so wired all the time!!!!!!!!!!!.

Your boss sounds like a douche, but you already know this.

you'd better apologize to him，anyway，he is the boss.then choose a time one day when you both have calmed down，maybe several weeks later，talking to him about this matter in the relaxing way .忍一时风平浪静，退一步海阔天空。we don't need to be too serious about something，为什么不给别人一个台阶下，也给自己一个台阶下。