All other things being equal: Yes. The program would have to sponsor you for a J-1 (avoid it if at all poss.) or a H-1B (get it if you can). There's quite a lot of red tape involved, and some simply will not do it.
However, besides the visa-issue you'd be considered a AMG, so overall you'd be much better off than most IMG's/FMG's, and if a program want you, I'm sure they can fix the visa issue too.