From what I see at work, most if not all Chinese immigrants (1st generation) have some level of issues with communication skill. Some have it more severe than others. If it gets to the point that it affects work/performance, something has to be done about it.
You can ask your boss for advice on this, but we all know that you have to be truly willing to put effort and time in working on it, and you have to come up with a plan that works for you. Courses and classes are tools that can help, those along won't solve all the problems. Also, don't have the attitude that your boss owes you a formal class/course training.In the current fiscal climate, they may not have the extra cash sitting around to send you to schools/courses, but they still expect you to improve it. Ask yourself what you have done in this area in the past? What can be done now? Compared to ppl living in China, you have an English speaking environment where many things are at your disposal if you want to take advantage of. One of the things I'd suggest is to try to post here in English which should help improve your writing skills.
Last but not least, communication skill encompasses so many areas. Vocabulary, grammar, accent reduction, flow of logic, speaking in front of a group, stage presence, control of nervousness, summary skill...it goes on and on.
On thing I am curious is how many of you here have to go from meetings to meetins all day long, and need to speak impromptu based on the audience and topic. Does that force you to think and respond in English only?