Glišović played in the youth team of SK Soko before becoming one of the main players of the BSK Beograd golden 1930s, he was, together with Tirnanić, Vujadinović, Marjanović and Božović, the main contributor to the attacking game of the club.
He spent a decade in the club, playing in both sides in the midfield and becoming famous for his speed and strong shot.
[1] His debut was on 5 June 1932 in Belgrade against France, and his last match was on 14 April 1940 against Germany in Vienna.
[2] In the first national Championship after the Second World War in 1945 the competition was organised by the selections of the six republics forming the new SFR Yugoslavia plus the Yugoslav Army team.
From the next season the championship was held normally, with clubs competing, and he was named the head coach of the Red Star Belgrade team, where he stayed for two years until 1948.