Apartments For Rent In Ozona Florida . Choose from 604 one bedroom apartments in ozona, fl, ready for you to rent! 1465 apartments rental listings are currently available. Palm Harbor, Ozona Florida 1 BR Apartment Rental UPDATED 2020 from www.tripadvisor.com There are a total of 22 apartments for rent available in palm harbor, fl. How to search for apartments for rent in ozona village, palm harbor, fl? Studio apartments average $1,204 and range from $1,160 to.