I don't know your exact situation or how many hours you have, but here are some issues I've seen...
Flight schools are hiring like crazy right now, especially if you are willing to move.
Some flight schools are requiring new instructors to sign a 1 year contract.
Some schools don't, but guys who are close to reaching the R-ATP minimums are having trouble getting hired because the schools know that they will leave as soon as they came. I worked at a flying school and they didn't want to hire a 1200 hour instructor because they said it cost them so many man hours to get the guy in their system, they would rather just hire a low time guy who is going to make the cost of worth it. So then, these guys can't get hired at a 121 operator because they are short of the requirement. They end up going to part 135 operators with a 1 year contract.