Gojković started his professional career at Sloboda Tuzla, before joining Čelik Zenica in 2013.
Gojković came through the youth academy of his hometown club Sloboda Tuzla, which he joined in 2002.
[8] In September 2024, Gojković moved to Israeli team Maccabi Petah Tikva.
[11] In October 2023, he received his first senior call-up, for UEFA Euro 2024 qualifiers against Liechtenstein and Portugal.
[13] On 16 November, in a UEFA Euro 2024 qualifier against Luxembourg, Gojković scored his first senior international goal.