[7] He made his Czech National Football League debut for České Budějovice on 24 September 2017 against FK Baník Sokolov.

[8] Staněk joined Viktoria Plzeň on loan in January 2020,[9] making his league debut in a goalless draw against Baník Ostrava on 5 July.

[10] He signed for the club permanently on 3 January 2021,[11] playing the entire 2020–21 Czech Cup final against Slavia Prague on 20 May, which Plzeň lost 1–0.

[14] On 5 January 2024, Staněk signed a contract with Slavia Prague until 2027 as part of a swap transfer with midfielders Lukáš Červ and Matěj Valenta.

[17] Staněk debuted for the Czech senior squad on 5 September 2021 in a 2022 World Cup qualification against Belgium, ending in a 0–3 away loss.