Gatski was a quiet man who liked to hunt. He practiced hitting targets with his bow and arrow at League Park in Cleveland, where the Browns trained during the season. He was one of the Browns "Filthy Five" players who did not wash their practice uniforms during the season. Brown called him one of the strongest men on the team's roster. Graham thought of him as sure protection against opposing linemen. Teammates called him an "iron man" and a "Rock of Gibraltar". He was named to All-Pro lists in all but one year between 1951 and 1955.