 Konrád played for MTK from 1913–1919 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 the three championship seasons between 1917–1919, MTK outscored their opponents, 376-46, and had an overall record of 60-4-2.Kálmán played in 94 games during this incredible run and scored 88 goals while a player for MTK.