Along with Wu "Kenny" Lee and Chan Jaoming, he is a contender for the spot as Hsin Jaoming's successor. Both him and Chan were falsely accused of being the FIB informant who was ratting out the Triads (only for it to be revealed to be Kenny), and they were both killed by Huang Lee on Hsin's orders.
Zhou appears to be very arrogant, overconfident and selfish, almost always pointing out better facts about himself to everyone, including Huang Lee. He thinks that he has everything to become Hsin's successor. Despite that, he appears to be loyal to his gang, trying to set up profitable deals and counterfeiting orgainsations. He is always on the look out for money and is very greedy. Him killing Uri in an extremely violent way (by cutting his heart out with dagger) also shows that he is a heartless, bloodthirsty sociopath, who will do anything in order to achieve what he wants. His personality is quite similar to Ray Boccino from Grand Theft Auto IV.
Zhou Ming drives a Bobcat as seen in the missions Stealing the Show and Driven to Destruction. He also has a Triad variant Hellenbach, as seen in all of the missions he gives from his clubhouse, in Cash and Burn and in the cutscene for the mission So Near, Yet Sonar.
His name was very likely based on the Chinese dynasties Zhou and Ming.
A Chinese character named Zhou Ming also features in Driver 76. Both games are set in an equivalent of New York, and Zhou Ming also appears as a boss for many missions in Driver 76.