I'm currently enrolled at a university in Jamaica. However, on my school break I often come to the US for flight training. I would like to know if a major US airline would employ me after completing my degree, given that it is an overseas degree?
Without a considerable amount of time as PIC of a turbine-powered aircraft, I expect your chances would be slight.
Once your other qualifications, logbook, and resume are competitive, I doubt that where you went to college will matter very much.