He spent twelve season in the American Soccer League and later won the National Challenge Cup with the amateur Chicago Viking.
In 1934, while at Temple, Nemchik signed with the Philadelphia German-Americans of the American Soccer League (ASL).
That year, the Vikings won the 1946 National Challenge Cup over Fall River Ponta Delgado.
Nemchik was selected for the U.S. soccer team which lost to Italy in the first round of the 1936 Summer Olympics.
However, Nemchik scored a goal in the second game, a 2–7 loss in Mexico City.