Good project managers can communicate with people so I doubt there will be issues with AI. Plus the majority of problems the AI could code don't necessarily have to be large endeavors, simply start with the simple stuff and you eliminate the need for quite a bit of coding.

Design is so much more important than code, knowing what you want and knowing what you need is more than half the battle. Finally don't over look that an AI will be 24x7 and no person can have that output