That same year, Zbigniew Oleśnicki, the academy's chancellor, arranged for him to study abroad.
Król attended the universities in Prague (1445), Leipzig, Padua and Bologna, where he lectured on astronomy in 1448.
Shortly thereafter, Król left for Hungary, where he was the court physician to John Hunyadi.
He kept up close correspondence with other astronomers, including the Austrian Georg von Peuerbach and the German Regiomontanus.
A small sum also went to his brother Florian, a peasant settled in the family village of Żurawica.