It is too cold in winter for any type of grass to grow, and during the spring, summer, and autumn, C3 species will grow more than C4 species. Of course, C4 species use less water than C3 species, tend to be more salt tolerant, and in this type of climate, will require less mowing due to the shorter growing season.
Zoysia japonica is in common use as a fairway and rough turf around Seoul, more so than it is in Beijing.
Based on the similar temperatures between Seoul and Beijing, Zoysia japonica would certainly perform well in the summer in Beijing. But with colder winters in Beijing than in Seoul, one would need to be more concerned about potential winterkill. It would seem that Beijing winters would be almost too cold for Zoysia japonica, based on the temperatures at which this species was killed in this experiment by Patton and Reicher.