In January 2003, Balázs Rabóczki transferred to Danish Superliga side F.C. Copenhagen for a transfer fee of 5 million DKK, signing a 3,5-year contract and rejoining former SV Salzburg manager, Hans Backe. Rabóczki stated that the transfer was a big step forward for him, giving him the best opportunity to be selected for the Hungarian national team. Rabóczki was signed as a replacement for then F.C. Copenhagen goalkeeper, Rune Pedersen, who had turned down contract offers and eventually was sold to Italian Serie A side F.C. Modena.