Where is your citizenship?

If you are a French Citizen, you are Chilean-French

If you are an American Citizen, you are a Chilean-American immigrant/expatriate to France

If you are a Brazillian Citizen, you are a Chilean-Brazillian immigrant to France.

If you are a Chilean Citizen, you are a Chilean immigrant to France

But you could also drop the “Chilean-” part and say you’re a Brazillian/American/French if you feel like it. Usually, people identify with where they have citizenship in.

I was born in People’s Republic of China, and I only use “Chinese-American” when I’m speaking from a racial/cultural experience, but if I’m running for office or something, I’d just be “American”.