He began his career with HŠK Concordia before moving to Građanski Zagreb in 1935. Pleše played with Građanski as a striker until its disbanding in 1945. In 1937 and 1940 he was Yugoslavian champion, while in 1941 and 1943 he was champion of Croatia. In 1945 he joined the newly formed Dinamo Zagreb with whom he played until 1950. He was Yugoslavian champion again in 1948.