Actually that is a difficult topic. There are no free parking spaces in the city centre, but multiple paid car parks are available. Next to the National Forum of Music you find an underground car park where the daily fee is capped at 35 PLN (7 PLN per hour, as of Feb 2023). Another central option is the Plac Nowy Targ underground car park which has special offers for weekends.
If you plan to stay in Wroclaw for a few days, we recommend to book a parking space directly with your hotel. All our hotel recommendations in Wroclaw have parking options available.