Born in Hadsten, Bisgaard started playing football with his local club Hadsten Gymnastikforening at the age of 6. He moved to Randers Freja at the age of 12. While playing for Randers Freja, he debuted for the Danish under-19 national team in October 1990, 16 years old. He made his senior debut for Randers Freja in the Danish 2nd Division West during the 1991–92 season. In July 1992, he moved to OB in the top-flight Danish Superliga championship. He stayed another half year with the Randers Freja, while finishing his education. In January 1993, Bisgaard was loaned out to Viborg FF in the Danish 1st Division, and helped the club win promotion for the Superliga in the summer 1993.