Serhiy was also capped by the Ukraine national football team in a friendly game against Latvia on August 15, 2001. He played in the second half of the match.
On August 19, 2001, during the game against Anzhi Makhachkala, he collided head-to-head with Anzhi forward Budun Budunov who also sustained serious head trauma during the collision. At first, the injury appeared to be minor and substituted Perkhun was quickly released by doctors with the diagnosis of a broken nose. However he became suddenly comatose on the way to the airport and died nine days later from a brain hemorrhage.