Can I remove an Iguana from my property? The answer is yes. 
Green iguanas are not protected in Florida except by anti-cruelty laws and can be euthanized on private property year-round with landowner permission. The FWC encourages removal of green iguanas from private properties. Captured iguanas cannot be relocated and released elsewhere. Hired trappers or homeowners who capture iguanas on their property may be able to obtain euthanasia services from local exotic veterinarians, humane societies or animal control offices depending on the location and availability of services.
(Information and photo source: Florida Fish and Wildlife Commission)