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.
America is 2 continents, it'd be easier to say North American/South American. There is rarely a reason to lump both continents together. No one refers to people from Europe or Asia as Eurasians
There are multiple models for continents. The English speaking world uses the 7 continent model. But non-English countries often use a different model. There is a 6 continent model which considers the Americas to be a single continen. It is used much more commonly in Latin and South Americas.
The models of the world that you learned in school are not universal truths.