Kokoškov was the first European to be a full-time assistant coach in NCAA Division I college basketball, and the first non-American to hold such a position in the NBA.

[3] His savvy, ambitious nature and command of the English language were factors when he was hired by the University of Missouri Tigers, as a part of their full-time men's basketball coaching staff in 1999, making him the first European to hold such a position in NCAA Division I men's college basketball.

[7] He would remain assistant coach for the Jazz until their run in the 2018 NBA Playoffs concluded, which ended on 8 May 2018 with a 112–102 loss to the Houston Rockets.

[10] In his official head coaching debut in the NBA on 17 October, Kokoškov led the Suns to a 121–100 victory over the Dallas Mavericks.

[13] On 4 July 2020, Kokoškov was named the head coach for Fenerbahçe Beko of the Turkish Basketball Super League and the EuroLeague.

Also, he went 22–8 in the Turkish League before his team got swept by newly crowned EuroLeague champion Anadolu Efes in the domestic finals.

[16][17] After spending one season with Dallas, on 6 July 2022, Kokoškov was named as assistant coach for the Brooklyn Nets.

On 18 January 2016, the Basketball Federation of Slovenia named Kokoškov the new head coach of the Slovenian men's national team, for the next two years.

[26] Former Serbian coach Božidar Maljković recommended him for this position to Slovenian Federation Secretary-General Rasho Nesterović.

[28] He appointed Dejan Milojević, Vladimir Jovanović and Jovica Antonić as assistant coaches, as well as Bogdan Karaičić as scout.