Parking is scarce and expensive in the city center, so it might be a better idea to park in the peripheric neighborhoods and use the Public transportation system instead.

Parking anywhere within districts 1-9, 20, and in specially marked areas is restricted to 120 minutes (from 9:00 and 22:00, M-F) and subject to a fee of €2 per hour unless you have a resident permit.

More info here.

For a map of parking locations and garages with public transportation connection, click here.