You certainly shouldn't despair; there are plenty of students who go straight from an undergrad to an MBA program, though it may not be the most travelled route.
I don't know Chinese MBA programs well enough to tell you which ones will be most welcoming to someone in your situation, and to really find an adequate answer to that question it would take a bit of research.
Your best bet is to identify some schools that you are interested in going to, and for which your academic qualifications are suited, and to inquire with their admissions departments.
I would also guess that involvement in extracurriculars, strong essays, and good recommendations will be essential for you.
Have you considered trying to find a job in China, and then applying after a couple of years?
Proficiency in Mandarin will be very useful there, and a few years of work can get you started towards that end, and show schools that you have long-term goals in China.
Good luck!