Citizenship is very unlikely initially, but I do hear that it may be possible for JAA flight instructors to apply for a 'green card' if you can prove that there is a genuine need. However I also hear that the application process can take upto 18 months with no guarantees of acceptance.
Have you considered the J1/HIB/H3 visa route?
There is lots of good stuff on the internet if you do a google search.
Good luck!