Chinese government has a pretty tight grip on the nation's information sources, and has a very significant political and military power. Democracy has no chance to be exported there, as it was exported e.g. to Iraq and Afghanistan (rather unsuccessfully).
Chinese government makes a lot of efforts to keep the political system of China under control, without Western-style democracy (and probably any other). It also makes a lot of efforts to keep China producing and selling a lot of stuff, and becoming better and better at it. It's rather successful on both accounts.
There are a few examples of countries becoming wild economic successes under quite undemocratic regimes: South Korea and Singapore spring to mind. But both are not Communist (or former Communist, since the Chinese seem to have abolished much of their previous communism). Maybe this is why the didn't look so suspicious to the Western public.