Abington Memorial Hospital in Philadelphia sponsors green card to all residents in the first year. More than 80% of the residents in the program are IMGs. But the program is very competitive. Your scores need to be very high in order to be even considered for interview in this program. The hospital is affliated with drexel university and select fellowships at drexel are reserved for residents from abington. Also the program is known for admitting spouses of current residents regardless of the scores. Most of the positions are given as pre-matchs and very few goes to the actual match.
To obtain more information regarding residency programs for international medical graduates read The International Medical Graduate's Guide to Us Medicine and Residency Training. To know how you can get a green card in US read The Immigration Handbook: A Practical Guide to United States Visas, Permanent Residency and Citizenship