Xuchang special post teachers can go to Zhengzhou when their term expires.

It depends on whether the school where you are working is willing to let people go.

After the expiration of the three-year employment period, special post teachers can stay in colleges and universities after passing the examination.

If you don't want to stay in a college, as you said, you want to go to Zhengzhou. If there is a school in Zhengzhou that is willing to accept you, and the school where you are working is also willing to let people go, you can go.