[6][7][8] He was part of the Mladá Boleslav team that won the 2010–11 and 2015–16 Czech Cups, coming off as a substitute at the eighth minute of the former final.

[14] On 18 March 2021, Kúdela was accused of racial abuse Rangers on Glen Kamara during a Europa League Round of 16 match.

[15][16] Kúdela denied the accusation and claimed he was assaulted by Kamara in the tunnel after the match, and Slavia Prague lodged a criminal complaint while criticising Rangers' handling of the situation.

[17] On 14 April, he was officially found guilty of racial abuse by UEFA and was banned for ten UEFA matches, ruling him out of playing any game in the upcoming Euro 2020 championship; Kamara meanwhile was handed a three-match ban for assaulting Kúdela in the tunnel after the game.

[3] He began the process of appealing the ban to the Court of Arbitration for Sport, with a statement being scheduled for April 2022.