Szot was a three-year starter for the Bucknell Bison. He was co-captain of the 1943 Bison team. He earned first team all-state honors in 1943 while also garnering All-East and All-America recognition. Szot also earned second team All-Pennsylvania honors in 1942. He was on the boxing team for one year and was president of the "B" Club his senior year. He was inducted into the Bucknell Hall of Fame in 1993.
Szot was selected by the Chicago Cardinals with the 176th pick in the 1944 NFL Draft. He played in 33 games, starting one, for the Cardinals from 1946 to 1948.
Szot played in 23, starting two, for the Pittsburgh Steelers from 1949 to 1950.