 Yaremchuk's first trainers were Mykola Dudarenko in Karpaty and Oleksiy Drotsenko in FC Dynamo.He made his debut for FC Dynamo-2 entering as a second-half substitute against Desna Chernihiv on 14 July 2013 in the Ukrainian First League.While playing for Oleksandriya in October of 2016, Yaremchuk was selected a player of the month in the Ukrainian Premier League.