Is there such a thing as getting another Z Visa even when you still have a valid Z?

Hi, I am from Philippines. I just got my Z and will expire 3 months from now. The problem is my supposedly future employer did not pursue my employment for some reasons. I wonder if I can still use this Z to go to China but I will be working for another employer? Or do I have to secure another Z again for a new employer? Thanks for any immediate answer.