Born in Tashkent, Mirzaev first took an interest in football at the age of seven, after watching Argentina international Lionel Messi play.
[1] After suffering a serious injury, he stepped away from the game to recover, before returning in 2019, when he joined the Odil Ahmedov Football Academy.
[1] He joined then-Super League side Lokomotiv Tashkent for the 2022 season, and would go on to make his professional debut on 12 November, coming on as a late second-half substitute for Jerome Mpasko in a 3–1 win against Metallurg Bekabad.
[1][4] The following year he continued to represent the Uzbekistan under-16 team, scoring the only goal in a 1–0 friendly win over the under-18 squad of Pakhtakor, before captaining the side as they played at the Mirabror Usmanov Memorial Cup.
[1] At the competition proper, Mirzaev could not prevent Uzbekistan's defeat to South Korea in the semi-finals, stating "We have come a long way to this tournament.