<p>I don’t know how visas work for residencies, but a word of warning since you mentioned H-1Bs: There is a cap on the yearly number of H-1B visas that are issued, and in recent years the demand has exceeded the cap in all categories. There is a good bit of luck involved in getting an H-1B.</p>
<p>I don’t know if this applies to you, nor do I know if visa caps will still be an issue 10 years from now. But the possibility of not getting a visa (even if you might be perfectly qualified and find a sponsor) should be included in your risk-benefit analysis. What would you do if you got a medical degree in the US and then did not get a visa for your residency?</p>