Mister,
Had a quick look but could only find Sloane Helicopters (http://www.sloanemallorca.com) - You're not a rotorhead are ya?
Anyway, I do know that there are a couple of small airfields on the ourskirts of Palma because I visited a few last time I was over there. Keep looking, and you'll probably come across one of em!
Happy Flying,
SB22