Gamzatkhanov started training freestyle wrestling while at college. After learning in several teams, his friend Ahmed Sharipov introduced him to the five-time world champion Ali Aliyev, who accepted to train him. Under his tutelage, Gamzatkhanov won the Nalchik regional championship in 1979. He also won the USSR junior championship two years back to back, and placed fourth in the international Aliyev Cup. In 1981, upon beginning his two-year service in the USSR military, Han decided to leave wrestling for sambo, and was immediately scouted by Viktor Lysenko for his team in Tula.