What if I can't get the temporary Residence Permit

Hello,
I am an American Citizen and I have recently obtained the Z visa to enter China for work. However, I am worried that I may not qualify for the Residence Permit once inside the country. Also I may not wish to stay with the Institution I was hired by since I've never seen them or know anything about my accommodation.
If I don't get my Residence Permit or I decide not to stay - can I exit China without any problems ? (My Z type states Duration of Stay after entry: 000 days)

Thank you