I came to this country on a H-1B visa. My employer did not exploit me more than my American counterparts. They did sponsor me for a green card after 6 months at my request, in exchange I did agree to stay at the company for another year after getting approved.
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Some of the big ones did have a bunch of H1-B employees that would never get to be sponsored for a green card. Those employees would also be payed well below standard rates.