On 12 April 2015 the Polish national U19 team, including Kwolek, won a title of the CEV U19 European Champions. They beat Italy in the final (3–1).[1][2] He was named the Most valuable player of the tournament. He took part in European Youth Olympic Festival with Polish national U19 team. On 1 August 2015 he achieved gold medal (final match with Bulgaria 3–0). On 23 August 2015 Poland achieved first title of U19 World Champion. In the final his team beat hosts – Argentina (3–2).[3] On September 10, 2016 he achieved title of the 2016 CEV U20 European Champion after winning 7 of 7 matches in tournament and beating Ukraine in the final (3–1).[4] Also, Kwolek received individual award for the Best Outside Hitter. On July 2, 2017 Poland U21, including Kwolek, achieved title of U21 World Champion 2017 after beating Cuba in the final (3–0).[5][6] Kwolek was awarded an individual award for the Best outside spiker of the whole tournament.[7] His national team won 47 matches in the row and never lost.[8] The U21 World Champion title ended his time in youth national teams.
On 30 September 2018 Poland achieved its third title of the World Champion.[9] Poland beat Brazil in the final 3–0 and defended the title from 2014.