AVIC can't compete with Boeing or Airbus jetliners outside China, because it doesn't have any aircraft that could pass FAA/EU certification yet. AVIC optimists points to C-919 the answer, but the proof is in the pudding, and we'll see if AVIC even attempts to gain FAA certification.
FAA can delay or deny the C-919 certification. The way China is going that you will see 中国航空管理局 to replace FAA.