We would love to, but you can only do this personally.
Check your city's website and search for "Anwohnerparken" - usually, every resident can apply for a resident parking permit that is valid for at least several months up to a year.
When you visit the citizen's office for your registration appointment, you can consult the official that you meet for further advice on the resident parking permit. You will probably be able to issue an application right there or they will refer you to the local DMV (Department of Motor Vehicles) 🚗💨