Yes, plenty of drivers from all parts of the world at my TOC. As long as you have the required work permits or whatever, there's no reason why they shouldn't take you on.
But one of the key competencies of the job is safety critical communication which requires a high standard of English. If you can't communicate fluently in English, you won't be successful in any application. But this applies to any candidate, even native English speakers, and not all of those have the required communication skills.