He was member of the SN PTT-1907 Klub Sportowy Kemping Zakopane, and primarily competed in the B-Class in 1923.
Żytkowicz was an officer in the Polish Army active in the defense of Poland against the Nazi German invasion of September 1939, and retreated with the army across the border to neighboring Romania after the Soviet Union also invaded Poland on 17 September as an ally of Germany.
He made his way to French-administered Syria, where the Polish forces regrouped as the Independent Carpathian Brigade, later crossing into British-administered Palestine when France capitulated to Germany.
He saw action at Tobruk, Libya, and served in the Italian campaign against Germany as part of the Polish Second Corps under General Władysław Anders.
After the end of hostilities, he managed to smuggle his young family out of Soviet-occupied Poland to Italy, and together they were transferred with the Polish Army to England, where he was demobilized.