When westerners move to a different country for economic or political reasons they are "expats". When other people move to western countries they are immigrants.
I think you are looking for the term migrants. Expats and migrants are both considered immigrants, although migrant workers are generally considered more harshly than expats. It used to be determined by whether you had a package or not. No package, you are a migrant worker, otherwise you are an expat. They called highly skilled foreigners in China without package “half-pats” though, although I think we typically qualified as just highly paid migrant workers.
