|Date of birth||17 September 1913|
|Place of birth||Belgrade, Kingdom of Serbia|
|Date of death||10 March 1988(aged 74)|
|Place of death||Paris, France|
|1932–1940||Kingdom of Yugoslavia||21||(9)|
|1946–1948||Red Star Belgrade|
|* Senior club appearances and goals counted for the domestic league only.
He played in the youth team of SK Soko before becoming one of the main players of the BSK Belgrade golden 1930s, he was, together with Tirnanić, Vujadinović, Marjanović and Božović, the main contributor to the attacking game of the club. Since his first appearance in the 1931–32 season, he won four national Championships, and was the league top scorer, with ten goals in same number of matches, in the 1939–40 season. He spend a decade in the club playing in both sides in the midfield and becoming famous for his speed and strong shot.
Beside the 15 matches played for the Belgrade City selection, and three matches for the B National Team, he has played an impressive 21 matches for the Yugoslavia national football team having scored nine times. His debut was on 5 June 1932 in Belgrade against France, and his last match was on 14 April 1940 against Germany in Vienna.
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. Glišović was in charge as coach of the winning SR Serbia 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. Afterwards, he continued his coaching career in Greece, Switzerland and United States.