Štimac grew up with Beovuk 72 youth team, and later spent two years in Lithuania and one in Latvia before returning to Serbia.

In order to get a chance to play as a first-team regular, he was allowed to spend his third SEB BBL year with Latvian side Valmiera, where he was unanimously chosen as the best player for the 2007–08 season.

Štimac also represented Serbia at the 2016 Summer Olympics where they won the silver medal, after losing to the United States in the final game with 96–66.

[23] Štimac also represented Serbia at the EuroBasket 2017 where they won the silver medal, after losing in the final game to Slovenia.

[25] A supporter of cryptocurrency and anti-discrimination politics, Štimac was also previously involved in a conflict with the "Milenijum tim" company which retains close relations with the ruling Serbian Progressive Party (SNS).

[27] Štimac signed an agreement with the right-wing National Democratic Alternative (NADA) on 3 November, announcing that he would run on their electoral list.

[30] Not long after, Štimac was branded an "eco-terrorist" by a pro-government and pro-Rio Tinto anonymous political organization "Kopaćemo".

[31] On 8 November 2024, Štimac announced that he is filing a request to establish a citizens' association called "Nacionalna Snaga".

[32] On 30 November, Štimac began a 24-hour protest in front of the Presidency of Serbia, with a request to assume political responsibility for the Novi Sad railway station canopy collapse and the death of 15 people.