Drzyzga debuted in the Polish national team in 2010, but also represented Poland as a cadet in the past. He won a silver medal of the U19 European Championship in 2007. He was appointed for the first time to the senior national team by Daniel Castellani in 2009. Drzyzga is a bronze medalist of the 2011 European Championship. On 16 August 2014, he was appointed to the national team at World Championship held in Poland. On 21 September 2014 he won a title of the World Champion. On 27 October 2014 he received a state award granted by the Polish President of that time Bronisław Komorowski – Gold Cross of Merit "for outstanding sports achievements, and promotion of Poland in the world". On 30 September 2018 Poland achieved its third title of the World Champion. Poland beat Brazil in the final 3-0 and defended the title from 2014.