Yes, Saarbrücken is not only a city, it’s a district at the same time, too.
Saarbrücken District Map

Cities, Towns & Villages in the Saarbrücken District
Here, you’re going to find, of course, the capital of Saarland, Saarbrücken. You’re further going to find the city Völklingen with its UNESCO World Heritage site Völklinger Höfe, as well as the smaller towns listed in the table above.
Saarbrücken has a touch of Hollywood thanks to the Max Ophüls Prize. Every year in January, it hosts a film festival for up-and-coming German film directors and actors.