He debuted in national team on June 4, 2013 in friendly match against Sweden (27:29). On January 24, 2014 the Polish national team, including Szyba, took 6th place of the European Championship. On February 1, 2015 Poland won bronze medal of the World Championship 2015. They won bronze medal match (29:28) against Spain.[1][2] Followed by the majority of the tournament was a substitute for Andrew Rojewski. In the match for the bronze medal he threw goal that gave to national team a draw and overtime in which the Poles won.
