See, philosophically stereotyping doesn't have to be a "bad thing". When I went to school there we "polack" jokes, blond/e jokes, yo mamma jokes, etc. They were not "mean" or meant to denigrate people.
They were ways to "break the ice" as it were. But nowadays people are super sensitive, unless it's a majority or almost majority population, or it has power, unless it has power but it's also seen as being singled out by another more powerful player... it's become tragically political.
I know some foreign parents who have a preference for their home country and will tell their kids that <some thing> from their home country is better than <same thing> from neighboring but "rival" country. In a way this is stereotyping --but I'm seeing you say these parents should not talk to their kids about having some favoritism to their home country because this kind of connection building can "stereotype" the people from their (ancestral) neighboring country.