Direction Générale de l'Aviation Civile
Division recrutement
50, rue Henry Farman
75720 Paris Cedex 15
Phone : +33-1-58-09-46-80
Might be too late for this year, but there's nothing bad in trying anyway.
You'll have to pass exams first (part of them in French, I'm afraid).
Then you'll have to start a new training from scratch (almost).
Don't expect to be paid as much as you may be in UK.
And you could be hired as a contractor, not sure there will be a possibilty to move from your first assigned place.
I knew a contractor who had to get French nationality first, then pass further exams (Ingenieur à la Française) before he could ask to move... it might have changed.
Good Luck !