You have to do the legwork-- go through the websites for programs in geographically desirable places for you, and see what rotations you can find.
If you can do a few a few surgery rotations, and get good letters, you may have a shot at surgery residency.
IMGs, however, in general only have access to less competitive programs, of which surgery does not have many.
Surgery does however have a "wild card" option, which is to get a prelim position through the Match. You are given a year as the floor slave, and depending on your leadership's view of you, may then be able to get a PGY-2 position (there or elsewhere) to complete the residency.
Doing research for a Surgery Department will get you brownie points if the program is academic, and likely real letters from real surgeons. For god-knows what reason, academic surgery is very into research. Meaning hardcore benchtop lab research, not silly survey-type projects.
There is nothing easy about it, and you can spends years chasing it without getting a categorical spot.