Hey - cross posting this from another place - not sure which one you're checking!
The annoying answer to your question is "it depends". Any time you ask a corporation to sponsor you, you're at a disadvantage. Effectively, they have to answer a question that goes something like this: "why are you hiring this international student if there are these other similar domestic candidates available?" The govt asks that. So a good response to that includes a compelling reason why you're worth more than the others.
So you can either be the most amazing thing since sliced bread, or you can network your way into these positions. Or both! So the reason I said it depends is because as you go through the job search process during your MBA program, you'll have dozens of opportunities to network through school functions, career events, and extracurriculars.
You're not at a HUGE disadvantage. That's definitely an overstatement. Are some cards stacked against you? Yes, that's the honest truth but they're nothing you can't overcome with a little strategy!
Don't try to go for an MBA in Canada - if you ever want to come do that state side, a top ranked US school really is your best bet.
Hope that helps!
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