With Belgium, Stockbroekx became European vice-champion at the 2013 European Championship on home ground in Boom. Three years later, he appeared at the 2016 Summer Olympics field hockey tournament. During the Olympic tournament's group phase, he scored a goal against Spain. In November 2018, he was selected for the Belgium squad for the 2018 World Cup. After the second match, he had to withdrew because of a hamstring injury. In August 2019, he was selected in the Belgium squad for the 2019 EuroHockey Championship. They won Belgium its first European title by defeating Spain 5-0 in the final.