[1] Sýkora began his professional career at Sparta Prague, but failed to make a league appearance for their first team.

[citation needed] On 15 September 2016, Sýkora scored the fastest ever goal of UEFA Europa League, finding the net after just 10.69 seconds in Liberec's group stage match against Qarabağ FK.

[citation needed] After a long battle for his signature between Slavia Prague and Viktoria Plzeň, the two frontrunners for the league title at the time, Sýkora signed for the former in January 2017.

[6] On 24 August 2020, Sýkora signed a four-year contract with Polish Ekstraklasa football club Lech Poznań.

[8][9] On 6 July 2022, Sýkora signed a three-year contract with Czech First League side Viktoria Plzeň.