Žabas moved to Canada from his native Lithuania when he was 15 years old and played at St. Michael's College School.

[4] He led the team with 14.3 points and 3.5 assists per game and achieved recognition for his excellent performance against Lietuvos Rytas and Žalgiris at the end of the season.

On July 25, 2016, Žabas joined Rethymno Cretan Kings of the Greek Basket League.

[7] He was released by Njarðvík on 21 October 2019 after appearing in three games where he averaged 12.0 points and 3.3 assists.

[8] Žabas represented Lithuania at the 2008 FIBA Europe Under-20 Championship, which won a silver medal.