He began playing football at the age of 6, when he joined the youth academies of the Greek club AO Kipoupoli.

[1] With the help of Sofia Kligkopoulou, who represented the senior Greek women's national basketball team at the 2004 Athens Summer Olympics, Zougris, at the age of 15, began his club basketball career, after he joined the youth teams of the Greek club Peristeri Athens, in 2018.

Zougris, under the guidance of Peristeri head coach Vassilis Spanoulis, then made his debut in the secondary level European-wide competition, the FIBA Basketball Champions League Europe (FIBA BCL Europe), during the 2022–23 season.

His first FIBA BCL Europe game was against the Lithuanian LKL League club Rytas Vilnius.

[12] As a member of the Greek under-18 junior national team, Zougris played at the 2021 FIBA Under-18 European Challengers, where he averaged 4.8 points, 7.4 rebounds, and 1.0 assists per game.

[19] In July 2023, at the age of 18, Zougris became a member of the senior men's Greek national team for the first time, when he was selected by Greece's head coach at the time, Dimitris Itoudis, to Greece's 18 man preliminary training camp roster for the 2023 FIBA World Cup.