What would be situtation of Polish residence card if I would change the university?

I'm actually waiting for the decision on residence card. I'm a student but I would like to study at another university for next academic year, would it be a problem for my card? I mean that I have to resign from study at this university and enroll to another. Between this time, can they cancel my card?

you don't have to quit studies in the 1st university before starting studies in the 2nd. but read terms of residency card. If it's connected with one university, then you will have to apply for the new one.