"Immigration to Germany as a non-EU-citizen is still limited to skilled workers (individuals with either a university or polytechnic degree or at least 3 years of training together with job experience), students and their immediate family members."

source: https://en.wikipedia.org/wiki/Immigration_to_Germany
backing source: http://bundesrecht.juris.de/beschv/BJNR293710004.html

To say Germany has "unlimited immigration" is fundamentally misrepresenting the facts.

Or a blatant lie.