Usually it would not make a lot of sense. Long distance driving is OK, but within the city a car is often a burden, especially as a tourist as rush hour and parking are problematic. 1st tier cities have good public transport, which often gets priority anyway during rush hour. And yes, got my license while having a Z-visa many moons ago.

Note: Beijing and Shanghai are older and have less parking within the inner city, as Shenzhen is more a planned city (in the 80s it was mostly still farming land), so they have parking garages, etc.