@ripanrocks
you'd need the J-1 Visa, which is valid for a period of 24 month and it permits you to work as an instructor in the US. Usually the flight school at which you'll be doing your training will help you with the visa application. But not all US flight schools sponsor the J-1 visa, only a few PART 141 schools can do that.
However, I have heard that the US Authorities are planning to abolish the J-1 Visa program (at least in the aviation sector) - I couldn't find any further details on that, probably the best to contact a US flight school or a US Embassy in this regard. Perhaps the following link contains some useful information:
Types of Visas - U.S. Embassy of the United States New Delhi, India
As a non-US citizen your are also required to undergo a background check before starting your flight training in the States. For further details see the link below.
TSA: Alien Flight Student Program