Stamenić made his debut for the first team on 23 November 2020, starting in a 2–1 Superliga loss to Randers FC.[6]
On 9 January 2023, Copenhagen announced they would not be extending his contract, which expired in June 2023, as Stamenić had elected to explore other opportunities.[7]
Red Star Belgrade
On 6 February 2023, Red Star Belgrade (Crvena zvezda) announced that they had signed Stamenić on a four-year deal beginning the next season.[8]
Stamenić made his first appearance for the New Zealand U-17 team coming off the bench in their 0–5 loss to the Solomon Islands at the 2018 OFC U-16 Championship.[11] He then followed that up starting in New Zealand's next matches against Papua New Guinea in the last pool game,[12]Tahiti in the semi-finals[13] and in the final which saw a rematch against the Solomon Islands that New Zealand won 5–4 on penalties.[14]
^Michael Boxall was racially abused during the first half of the game by a Qatari player. No official action was taken so the team have agreed not to come out for the second half of the match.