If you read the FARs it makes no mention of flying in the US or the aircraft having a US registry (N#). As long as your licensed and rated I believe you’re fine.
I flew JetBlue a couple of weeks ago into MCO. The FO on that flight was from South America. He trained at a flight school in Sanford, then went to South America to build time and came back with solid turbine time. As far as I understand, it may be an option for you.