residence permet after resignation

if the company cancel your residence permit, your passport will be asked to hand over to him, then the company go to the local exit-entry administrative bureau of public security bureau to cancel your residence permit, there will be cancell stamp on your residence permit.

If your residence permit without cancell stamp is still valid, you can use it to return to China.

Does this still hold true? I am in the same situation.

I'd like to return to China using theresidence permit.
What would happen if I was to find a new job while there?
Will it be possible to start the new work permit process from there?

Thanks