Most in the US are through the UK
Probably not for much longer. One FTO was recently inspected by EASA as I've heard the CAA no longer have any staff with the relevant experience to inspect overseas!
Training in France was not necessarily for a JAA licence, if it was, get the log book certified and have a copy of the RFs Registration Document which should then be acceptable towards an EASA licence; the JAA does not exist any more.