Korshkov made his Kontinental Hockey League debut playing with Lokomotiv Yaroslavl during the 2014–15 KHL season.
[1] In the 2016 NHL Entry Draft Korshkov was chosen 31st overall by the Toronto Maple Leafs, the highest the team had ever selected a Russian player.
On 1 May 2019, Korshkov signed a two-year, entry-level contract with the Maple Leafs, immediately joining AHL affiliate the Toronto Marlies, in the midst of their playoff run.
[5] Following the completion of his eighth season with Lokomotiv Yaroslavl in 2022–23, Korshkov with a year remaining on his contract was traded to fellow KHL club, Amur Khabarovsk, in exchange for financial compensation on 16 May 2023.
[6] After posting offensive career highs with Amur Khabarovsk during the 2023–24 season, Korshkov left the club as a free agent and joined fellow Russian outfit, Ak Bars Kazan, on a two-year contract on 1 May 2024.