During his time in Denmark, Rabóczki never established himself as the first pick goalkeeper, due to injuries, lack of stability and competent competition in the form of Magnus Kihlstedt and Benny Gall. During the end of the 2004/2005 season he did manage to secure a first team place, but the signing of Danish national team reserve and Danish Goalkeeper of the year, Jesper Christiansen, in the summer of 2005, meant that Rabóczki's days in the F.C. Copenhagen first team were numbered.