I'm korean, and I use english / korean while editing in emacs
I mainly used terminal based emacs (emacs -nw) and in there, I can do basic navigation (such as C-e for move to end) in any language I'm at.
But strangely same
C-e doesn't work in regular emacs (with windows not terminals) when I'm on Korean.
I'm on mac and I switch languages via switching input sources provided by Mac preference setting.