Christinaki is a member of Greece women's national basketball team, and she played at EuroBasket Women 2015, EuroBasket Women 2017 and World Cup 2018. She won 4th place with the Greek team, EuroBasket Women 2017. She won 9th place with the Greek team at the World Championship games in Tenerife. Christinaki played 2015 FIBA Europe UNder-20 DiVision B and she was in the best five valuable players of the tournament averaging 19.7 points per game. Christinaki also played at 2016 FIBA Europe Under-20 Championship for Women averaging 15.8 points per game, with the Greek basketball team.