When it comes to telecomunication/IT specialists - as a Pole you shouldn`t have absoloutely any problems in finding a job. As a matter of fact there is even a shortage for telecomunication/IT specialists - however since you`re an American and you don`t speak much Polish I don`t know what your chances might be - my guess is that you`d have a good chance, but it probably depends on what kind of job that would be.
When it comes to telecomunication - i would start searching a job with the smaller telecommunication companies who are offering VoIP or other telecomunication solutions - they might see hiring an American as an advantage.. then with the major GSM operators.. and then with TP.SA.
About Americans teaching English in Poland - according to the law you don't need a work permit if you yeach your mother tongue, in all other cases you do. So it's easier for them than it may be for you.
You may want to look for a job in multinationals, speaking a foreign language is a standard there so Polish becomes less important than your core skills.
Good luck!
b