He currently plays for Eskisehirspor, wearing the number 1 shirt. He plays primarily as a Goalkeeper. His preferred foot is Left.

His most recent move was a Free from Menemen Belediye Spor to Eskisehirspor on 2025-07-16.

In the Turkish Third League 2025-2026, B. Göymen played 23 matches, averaging 0 interceptions, 0 tackles, and 0 clearances per game.