Born in Bácspalánka (Bačka Palanka), a town on the Danube River in Austria-Hungary (now part of Vojvodina, Serbia), Konrád moved to Budapest as a small child.

Konrád played for MTK from 1913 to 1919 and helped the team win the Hungarian Championship in 1914, 1917–1919 (there was no league in 1915 or 1916 because of World War I).

In August 1926, Kálmán was brought to the United States by Nat Agar, the owner-manager of the Brooklyn Wanderers of the American Soccer League (ASL).

that Agar was forced to keep the transfer a secret until he was on his way to the U.S.[citation needed] That year, Konrád played for Brooklyn and appeared in 27 games and scored two goals.

He then became a world-renowned coach and led powerful clubs such as Bayern Munich, FC Zurich, and Slavia Prague.