Jókai Szilágyi represented Hungary at four IIHF Women's U18 World Championships, appearing in the Division I tournaments in 2012 and 2015, and in the Top Division tournaments in 2013 and 2014. Her first tournament with the senior national team was the 2013 IIHF Women's World Championship Division II A, in which Hungary secured promotion to the Division I B. She appeared at the Division I B tournaments in 2014, 2015, and 2016, and at the Division I A tournaments in 2017, 2018, and 2019. At the 2021 IIHF Women's World Championship, she was a member of the first women's national team to represent Hungary at the Top Division level and was the team’s second-highest point leader behind Fanni Gasparics, with one goal and three assists for four points in four games.