Born in Copenhagen, Bischoff made his senior debut with Danish club Akademisk Boldklub, where he played just eleven Danish league games. On 15 May 2002, he moved abroad to join English club Manchester City for a fee of £750,000. He was the fourth Dane to sign for Manchester City in less than a year, with Peter Schmeichel, Niclas Jensen and Kevin Stuhr Ellegaard at City already. Bischoff's capture was part of a move to strengthen the team's prospects for the future, and Bischoff made his debut for the Danish under-21 national team upon his arrival at City. After making his one and only league appearance for City against Blackburn Roversin September 2002, he underwent a hernia operation, and was unable to make an impression for the club. He was under the knife again in the summer of 2003 after picking up a foot injury playing for the Denmark under-21 side. Things did not get much better for Bischoff during the 2003–04 season. He returned for just one game – making an appearance in the starting lineup for the second-leg UEFA Cup victory over League of Wales club TNS in August. Bischoff returned to the reserves. At the end of September 2004, Bischoff joined Championship side Wolverhampton Wanderers on a month-long loan deal, in order to gain some valuable first team experience. After impressing in seven appearances and a goal against Nottingham Forest, he remained at Molineux as he signed a season-long loan deal with the club on the last day of the transfer window. Bischoff returned to Manchester City at the end of the season, but after another half-year as a substitute, he signed a loan deal with Sheffield Wednesday in March 2006 and made his "Owls" debut against QPR the following day. In spite of suffering a small injury, Bischoff played his part in helping Wednesday avoid relegation from the Football League Championship, indeed one long ball which led to a goal in the 3–1 win over former side Wolves is still talked about by Wednesday fans to this day. At the end of the season, he was released by Manchester City, along with nine teammates, following the expiry of his contract. He went on to sign for Coventry City several weeks later, in June 2006. After three games in seven months, Bischoff moved back to Denmark on a free transfer in the January 2007 transfer window, in order to play for Brøndby IF. He played regularly during his first couple of seasons at the club.
