Zubkov made his debut as the substituted player in the main-squad team in a match against Zorya Luhansk on 15 May 2016 in the Ukrainian Premier League.

[3] After the successful loan which saw him become the club's top scorer, Ferencváros exercised the option to sign him permanently.

[citation needed] On 16 June 2020, he became champion with Ferencváros by beating Budapest Honvéd FC at the Hidegkuti Nándor Stadion on the 30th match day of the 2019–20 Nemzeti Bajnokság I season.

[4] On 29 September 2020, he was member of the Ferencváros team which qualified for the 2020–21 UEFA Champions League group stage after beating Molde FK 3–3 on aggregate (away goals) at the Groupama Aréna.

[7] On 11 October, he scored the leading goal for Shakhtar from a header against Real Madrid, before the latter managed to equalize in the 90+5th minute, in a match which ended in a 1–1 draw.