A product of Red Star Belgrade, Burmaz also represented Grafičar Beograd, Radnički 1923, and Voždovac in Serbia before moving abroad to Romanian team Rapid București.
Burmaz made his senior debut for his boyhood team Red Star Belgrade on 10 October 2019, in a 8–0 away thrashing of Trepča in the Serbian Cup.
Burmaz returned to Grafičar Beograd midway through the 2021–22 season, and scored 12 goals from 16 appearances in the Serbian First League.
On 24 December 2023, Burmaz moved abroad for the first time by signing a contract with Romanian team Rapid București.
[1] Burmaz made his debut on 20 January 2024, netting a late winner in a 4–3 Liga I defeat of FC U Craiova.