In the early 1920s, the club reached the upper parts of the Hungarian League but it was largely dominated at the time by MTK Budapest.

The following season, he moved to Germany to play for Union 03 Altona in the city of Hamburg, they finished runners-up in the Norddeutsche Liga.

A fellow Hungarian, Jenő Károly was manager at the time and he had already brought former Toerekvés player József Viola to the club.

Juventus were crowned champions of the Italian Football Championship for the first time in 20 years; Hirzer himself had a very impressive end of season record, scoring 35 goals in astonishingly 24 games.

This record for the most goals scored by a Juventus player in a single season in the best Italian league, then named Prima Divisione, has never been broken.