Ist das eine Kakerlake? Brauche ich einen Kammerjäger?

Unfortunately, the image does not permit an exact determination.

It’s a shame – only if a German cockroach or a forest cockroach, you can’t safely say here.
I tend to be a forest treasure because she was very comfortable to photograph.
I’m sure it wouldn’t be so easy with a German cockroach.

https://de.wikipedia.org/wiki/Bernstein-Waldschabe

But compare yourself:

The German Shake has, like her nymphs, at the neck sign two very distinctive dark stripes:

https://bugguide.net/node/view/364803

Photos of forest treasures:

https://www.google.de/search?sca_esv=577789025&hl=de&q=ectobius&tbm=isch&source=lnms&sa=X&ved=2ahUKEwjxzqnf052CAxXASvEDHdNjAnIQ0pQJegQIDBAB&biw=1177

Forest damage would not be household damage – they live in bushes and shrubs, feed on rotten plant material, so after a few days in the house lack of food themselves, nothing has to be done against them.