Čanković joined FC Barcelona in August 2013 from Spartak Subotica. In September 2013, Čanković made her debut for the senior Serbia women's national football team. She played for Ferencvárosi TC before she signed for Växjö DFF. In 2016 Čanković was chosen as Player of the year in the Hungarian Jet-Sol Liga.[1] In 2018 she provided the most assists in Damallsvenkan and was named one of three nominees for Best Midfielder, selected from Swedish national team players and Damallsvenskan players.
On 26 August 2022, Chelsea announced that they had sign Čanković on a three-year deal.[2][3] On 23 August 2024, she signed for fellow WSL club Brighton & Hove Albion.[4]
^Karlsson, Erik; Bergström, Kristoffer (20 October 2019). "FC Rosengård är svenska mästare". Aftonbladet. Archived from the original on 30 October 2019. Retrieved 30 October 2019.