Well, everybody born in the american continent is technically “american” too, including Central and South America. Is there a specific term in english for these people?
Edit: Thanks for all your answers, especially the wholesome ones and those patient enough to explain it thoroughly. Since we (South Americans) and you (North Americans) use different models/conventions of continent boundaries, it makes sense for you to go by “Americans”, while it doesn’t for us.
The simple answer is really, no. Colloquially if you say “American” you’re talking about someone from the USA. We’ll further segregate ourselves into the States we’re from, which isn’t that different a distinction between “European” and “German”.