How can a child with one Chinese parent but with a French passport leave China?

My son has one parent who is Chinese, but he has only a French passport in which he has an exit/entry permit for China which his father got for him. However, according to the father, the child cannot go back to France because of his residence permit.
Which document should we use at the airport leaving China and going to France, the French passport?
Can we cross the border without having problems with immigration and security control?H
Best Answer
The father's explanation doesn't hold water and makes no sense. However just in case I ran the search on Timatic which doesn't confirm this either:
Nationality France
Foreign resident of China
Destination France
Passport
Passport required.
So nothing special seem to be required.
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