With more than 1500 matched IMGs yearly, New York is the top IMG-friendly state by the number of international medical graduates. The percent of IMGs varies by specialty. Around 50% for pediatrics, internal medicine, family medicine, and near 70% for pathology. NY state is one of the top friendliest by the percentage of matched IMGs. Around 35% of residents in New York are foreign medical graduates.
According to PART 405.4 (f) Medical staff, HOSPITALS—MINIMUM STANDARDS of New York Codes, Rules and Regulations.
All post graduate trainees must:
a) have less than 12 weeks of clinical clerkships outside of country of graduation that included in the medical school program,
or
(b) included clinical clerkships of greater than 12 weeks in a country other than the country in which the medical school is located, provided:
(1) the clinical clerkships were offered by a medical school approved by the State Education Department for the purposes of clinical clerkships; or
(2) the individual subsequently completed a post-graduate training program approved by the ACGME or the AOA, and the individual is eligible to complete additional training in a postgraduate fellowship program.
So, if residency completed in another state, you can apply for fellowship in New York state.
The list of approved schools can be found here.