Škorić was a member of the Serbia national team that participated at the EuroBasket Women 2017 in the Czech Republic. Over four tournament games, she averaged 4.5 points, 3.8 rebounds and 1.2 assists per game. She was a member of the national team that won bronze medal at the EuroBasket Women 2019 in Serbia. Over five tournament games, she averaged 2.8 points and 1.2 rebounds per game.