If i can pay the penalty. will i be able to go back in china again and work?

Hi. I left my school without any notice. I'm not happy to work there anymore and this new school i got they told me they can renew my residence permit but when i got here. it took along time for them to process everything because the school doesn't have the licence to hire foreign teachers. now, i found out that my residence permit has been cancelled 1 month ago and ive heard that my previous school they will put my name on the blacklist. will i be able to process a z type again in the Chinese embassy in my country?

can someone please help me...