I know some schools sponsors H1b for CFI, but H1bs are difficult to get these years because of the lottery system only allows 65,000 caps with bachelor degree applicant plus 20,000 with advance degree from U.S. The problem is if you are thinking about getting H1b, you will have to have some sort of degree relate to your job, because H1b is a specialty work visa, and your cap are subject to lottery in every April UNLESS you work for cap exempt company which could be university, non-profit or research company. I know some school done that on the regular basis like Riddle, UND, and FIT...and I was on H1b with one of them, some school even offer pathway to Green Card with different requirements.