Apartment For Rent In Odessa Fl . A 1 bedroom apartment as an average costs renters $1,767 and ranges from $701 to $2,385. On average rent for a studio apartment in odessa is $1,466, and has a range from $783 to $1,810. 12941 Royal Ave, Odessa, FL 5 Bed, 3 Bath SingleFamily Home from www.trulia.com Similar results nearby results within 1 miles. With great rent specials, price drops, and the best values in odessa, one of. Use our detailed filters to find the perfect place, then get in touch with the property manager.