I don't think that there is a requirement for gt service in these schools, but I will check with a friend who has a lot of knowledge about this and let you know. As far as I know, the schools are set up by the US gov't but do not have to follow all of the US education rules.
Are you in the foreign service, or overseas with a company? Because if you are in the foreign service then there are options available, but if you are there with a company, I think it is up to the individual schools to decide whether or not they will support gt.
Sorry I can not give you more definitive answers right now, but I will as soon as I hear back form my friend.
Welcome!