Norton debuted for Portugal U19 in a match against Wales U19 on March 13, 2012. She was part of the team that reached the semi-finals in the 2012 UEFA Women's Under-19 Championship, when they lost 1–0 against Spain in the semi-finals. Norton played with the U19 team until 2015, recording 25 caps with nine goals scored. On October 25, 2016, at the age of 20, Norton debuted for the Portuguese senior team in a tie against Romania. In her debut she scored the goal that enabled Portugal to qualify for a European Women's Championship for the first time. , this is Norton's only international goal. On July 6, 2017, Francisco Neto asked Norton to represent Portugal at the UEFA Women's Euro 2017. She did not play any matches as Portugal was eliminated in the group stage.