Dúbravka played for Esbjerg fB, a Danish football club based in Esbjerg, from 2008 to 2014. He made 181 appearances for the club and helped them win the Danish Cup in 2013. He also played for Žilina in Slovakia, Slovan Liberec and Sparta Prague in the Czech Republic, and Newcastle United and Manchester United in England.
Mastering Martin Dúbravka: Test Your English Knowledge of the Slovak Football Sensation