Hi,
After doing your residency program from USA, you can come back to India to practice medicine but you will have to give the licensing exam in India cause without that your degree won't be valid. And then once you qualify, you can join any hospital depending on where is the vacancy available and what are their demands and can start practicing medicine in India. There is no such thing as placement in India for doctors as in where the university or college will get you jobs like in engineering colleges.
I hope this helps.
All the best.
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