He was the Super Lig's topscorer in the 2004–05 season with Konyaspor. During the 2005/06 season, Zafer was transferred to Big Three club Fenerbahçe. He did not play in many games, as he was used primarily as a backup. A surplus to requirements, Zafer was transferred to Bursaspor early in the 2006/07 season. He was transferred to Çaykur Rizespor at mid of 2006/07 season. Biryol retired from being a football player in 2011.