The Fitness Center at The Palms Hotel & Spa
The Palms Hotel & Spa's fitness center is referenced by travel writers. Out of 12 reviews that we tracked, 2 mentioned the fitness center, including Oyster and Star Service.
The Palms Hotel & Spa 
Oyster
Star Service
Oyster "However, guests complain about the resort fee -- common among Miami Beach hotels -- that covers gym access, beach towels, lounge chairs, and umbrellas"
Star Service "The irritating daily $22 resort fee includes use of beach chairs and umbrellas, daily newspapers in the lobby or online (New York Times online), free local calls, use of a safe-deposit box, gym access, free Wi-Fi and free shoeshine (leather sandals are waterproofed)"
