According to FL. widlife resources, critters that are non-native but were introduced to FL and are invasive ...
"It is lawful for a landowner to live-trap or humanely destroy nuisance armadillos although they are difficult to capture with live traps. Armadillos are not considered native to Florida and are, therefore, illegal to transport and release. Relocating wildlife is seldom biologically sound, the animal often does not survive.
You can receive technical assistance for armadillo problems by contacting your nearest FWC regional office." end quote.
When I was taking classes at the Extension Service, we were told to KILL armadillos. It is illegal to transport or relocate them.