Cansu Özbay, who was born on October 17, 1996 in İzmir, raised from Arkas Yotuh Team. Transferred to Beşiktaş in 2014, Cansu played for Nilüfer Belediyespor in the second half of the same season. The successful setter, who completed the 2015-2016 season in Beşiktaş, transferred to VakıfBank at the beginning of the 2016-2017 season. Cansu Özbay won 3 FIVB Club World Championships, 4 CEV Champions Leagues, 3 Turkish League, 3 Turkish Cup and 2 Turkis Super Cup in the yellow-blacks.
Cansu Özbay, who played in all the under age categories of the national teams, won bronze medals in the 2018 FIVB Nations League and 2019 Women's European Championships with the Turkish National Team. Özbay, took place in the squad of the National Team, which won the 2020 Tokyo Olympics ticket by winning the first place in the 2020 Tokyo Olympic Qualifications, and competed in the Olympic Games Cansu Özbay was the setter of the team in the 2023 FIVB Nations League and 2023 CEV European Championship in which Turkey became the champion.