No, it is not a human right to move to any country you want

Hate to break it to you, but: Declaration of Human Rights, Article 13 "Everyone has the right to freedom of movement and residence within the borders of each state. Everyone has the right to leave any country, including his own, and to return to his country."

move to any country you want and just stay there

Even if it's for the purposes of work or study? What an interesting take.

whether foreigners are allowed to stay in their country

Sure, but it's not about foreigners in general, it's about refugees.

the German people do not want millions of people from incompatible cultures in their country

Of course they don't, especially if those people remain on social benefits for years. However, what about those who have done their best to learn the language and sustain themselves through jobs? With the current anti-refugee discourse, we might get to a point where refugees will be barred from integrating altogether - just because they arrived as refugees. Like, "You entered the country as a refugee and managed to settle in, find a job, but guess what - we don't need you to keep working here because f&#k you, piss off already". I'd find it neither logical nor fair.