I did something like this once. I was meeting a friend at a bar and she was with another guy I never met. I had just moved back to the US from Germany, so she introduced me and said “he just moved here from Germany,” not realizing that it wasn’t clear I was American. So he starts asking me how I like it here etc, and I threw on a German accent and went with it (I speak some German too). I pretended that my English was a bit rough but could get by.
We hung out for like two hours and then when I got ready to leave I dropped the accent and said in my normal Midwestern American voice “Ok cool to hang with you bro imma head out,” and left.