Born in Piraeus, Glezos began playing football as a defender for the youth sides of Atromitaki and Ermis Nikaia.
Glezos helped Proodeftiki achieve a fourth-place finish in the Alpha Ethniki during the 1964–65 season.
where he played until 1978, winning three Alpha Ethniki and two Greek Football Cup titles.
[1] Glezos made 10 appearances and scored one goal for the Greece national football team from 1971 to 1974.
He made his debut as a second-half substitute in a 1–0 UEFA Euro 1972 qualifying defeat to Switzerland on 12 May 1971.