It gets a ton of press in the United States. Mars mission, manned launches, and other achievements have been featured prominently by the national broadcasters, the New York Times, and Internet outlets. A few years back there was a movie in which a Chinese space station was featured (based on a Russian template, which figured into the story).
What these reports don't have are details. And that's not surprising, because the Chinese government doesn't share many details about its space program, or give any access to media outside of China.