Schumann played in the full back position his entire career. He made his debut for Port Adelaide in 1939, the year Port Adelaide won the premiership over West Torrens in the grand final. The next year, in 1940, Schumann was awarded Port Adelaide's best and fairest award. In 1949, he acted as captain of the club and in the Magarey Medal polled the highest votes for his club. He retired in 1950.
Over his career, he played 116 league games, all for Port Adelaide, as well as 7 games representing South Australia.
Port Adelaide joined the AFL as a separate entity to the SANFL side. The two clubs merged in 2014, and the SANFL side now functions as Port Adelaide's AFL reserves team.