[1] Under new manager Poul Hansen, Rasmussen made his Danish Superliga debut for AGF against Odense Boldklub on 10 November 2002, replacing Boye at half-time.
[2] Boye returned to the starting line-up, but following another injury,[3] Rasmussen established himself as AGF's first choice, playing the last 13 games of the 2002–03 Danish Superliga season.
Before the 2008–09 Danish Superliga season, he was named captain of the team by AGF coach Ove Pedersen, replacing Peter Graulund.
Having made his breakthrough with AGF, Rasmussen was called up for the Denmark U21 national team in March 2003,[12] serving as a backup to Stephan Andersen.
Denmark senior national team coach Morten Olsen considered including Rasmussen in the squad for the 2010 FIFA World Cup qualification games against Portugal and Albania in September 2009, but chose Kim Christensen from IFK Göteborg instead.