From the website;
E. Class III Wildlife
A permit is required for personal possession, exhibition or sale of Class III wildlife. Class III wildlife are all species not listed as Class I or Class II; and not among those species that are specifically listed as not requiring a permit for personal possession in rule 68A-6.0022, FAC.

There is no formal list of Class III species. You must check the lists of Class I, Class II, and species not requiring a permit to determine if an animal in question is a Class III species. Florida residents 16 years of age and older may apply for permit to possess, exhibit or sell Class III wildlife