[2] Zakharyan made his debut in the Russian Premier League for Dynamo Moscow on 1 November 2020, in a game against FC Tambov during the 2020–21 season.

[3] He made his first starting lineup appearance for Dynamo in the first league game after the winter break, on 28 February 2021, scoring his first goal in a 2–1 away win against FC Akhmat Grozny.

[5] Zakharyan was nominated player of the month for February, March and May 2021 by Dynamo fans based on his performances,[6][7] including a late winner against CSKA Moscow in May.

[9] Zaharyan's first goal of the 2021–22 season came on 23 July 2021, opening the score in a 2–0 away victory over FC Rostov; he was also selected as player of the game.

[19] On 9 August 2023, Zakharyan scored a winning goal from a free-kick deep in added time to give Dynamo 4–3 victory over FC Krasnodar in a Russian Cup game.

[26] On 11 May 2021, Zakharyan received his first call-up to the senior Russia team, and was included in the preliminary extended 30-man squad for UEFA Euro 2020.

[29] He became the youngest outfield player in Russian national team history, aged 18 years, 3 months and 6 days, overtaking Alan Dzagoev.

[32] His characteristics, such as his finishing, passing ability and playing style, have led Zakharyan to be compared with Belgian international Kevin De Bruyne.