He currently plays for FC Karpaty Lviv, wearing the number 36 shirt. He plays primarily as a Goalkeeper. He stands at 197cm tall and weighs 80kg. His preferred foot is Right. His current market value is estimated at 150K €.

His most recent move was a Free from FC Inhulets Petrove to FC Karpaty Lviv on 2026-07-01. The reported fee was 0.03M €.

In the Ukrainian Premier League 2024-2025, A. Zhylkin played 26 matches, averaging 0 interceptions, 0 tackles, and 0 clearances per game.