If you take an historical approach, the English language was impacted by countries taking over England again and again. In more recent years, English picked up some local color from countries it colonized. In general, we do pick up a word here and there but I don't see drastic changes.
Because globalization connects people through language, among many other things, there are undoubtedly some words, phrases, and concepts which have intermingled with English and become part of our culture. That's simply a matter of vocabulary, though. Anything more significant than that seems unlikely, at least in any drastic way.