Royal Jordanian and the Middle East Aviation Academy are the two pro schools based at Amman's Marka airfield but no good to you if you want JAA. Sorry to have to contradict kaptn but that's how it is.
Ayla down on the Red Sea coast is the one with the JAA links but is presently advertising for a head of flight training who will tick all the CAA boxes. I'd advise careful and diligent research by talking to real graduates. Any school that can describe the climate of Aqaba in the following terms really is in full spin control:
The year-long mild climate makes it an ideal location for flying.
Rob