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. Bisgaard started his OB career in the summer 1993. He was a part of the OB team that eliminated multiple European Cup winnersReal Madrid from the international 1994–95 UEFA Cup tournament. OB had lost the first match 2–3 at home in Odense. In the second game, Bisgaard came on as a substitute for wingback Steen Nedergaard. 15 seconds before the game ended, Bisgaard scored the final goal in OB's 2–0 win, and secured the club advancement in the tournament. OB was then eliminated by Italian club A.C. Parma in the quarter-finals. Bisgaard got his national breakthrough in the 1996–97 Superliga season, when he played all 33 league games and scored 16 goals for OB. He was called up to the first Danish national team match of new national manager Bo Johansson, and Bisgaard made his international debut in the August 1996 game against Sweden. He played an additional national team game in April 1997, before he was sold to Italian club Udinese in the summer 1998. In his first year at Udinese, Bisgaard only played three games in the Italian Serie A championship, and was dropped from the national team. He played 20 games and scored one goal in his second season at Udinese, and was included in the Danish squad for the 2000 European Championship. He played two games at the tournament, both Denmark losses. Bisgaard played a further three national team games, before his national team career ended in October 2000. He eventually moved back to Denmark, to play for defending Superliga champions F.C. Copenhagen in the summer 2001. He helped guide FCK to the 2003 and 2004 Superliga championships, as well as the 2004 Danish Cup trophy. In the summer 2004, he moved to England to play for Derby County in the Football League Championship. In 2005, he lost his regular place in the first team squad. He managed 104 appearances and scored 10 goals in his three years at the club, from an attacking midfield position. As his Derby contract expired in the summer 2007, speculation had him joining a Superliga team. Especially Randers FC would be an obvious bid as future employer, as his previous coach Colin Todd will manage them from the summer 2007, but on 23 July 2007, his old club OB signed him on a two-year contract. He left the club in the summer of 2009, and subsequently retired from football. Instead he started studying journalism at the University of Southern Denmark. He finished his bachelor in January 2013.
Coaching career
Oure Fodbold Akademi
In 2016, he started working as a football coach at Oure Fodbold Akademi. He is coach for the u-19 team Playing in the 2 division.