From MIM Wiki
You don't have to be a Polish national to open a bank account in Poland. Usually only a pass and a confirmation of your residence in Poland is required.
Normal banking hours are from 9 a.m. to 4 p.m. Mondays to Fridays, and 9 a.m. to 1 p.m. on Saturdays.
Popular banks are:
For a full list of banks in Poland, check here.
Major cards are normally accepted in cafes, restaurants and shops of the main Polish cities.