Gojković, nicknamed Cune after the well-known singer, made his first steps playing in his hometown club FK BIP Čačak, from where he moved, in summer 1995, for the biggest city club, the top league FK Borac Čačak.
In the 1980s he became a co-host of the highly popular TV folk-music show Folk parada on Television Belgrade, with another major folk star, Predrag Cune Gojković and an actress and singer Zlata Petković.
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He also held a very popular three-singers concert, performing with Predrag Cune Gojković and Miroslav Ilić.