The FA Cup came as a welcomed break for a Fulham side currently struggling in the league.
Playing without the pressure of having to pick up points meant that manager Rene Meulensteen could experiment with the team and ultimately influence a level of calm among the players.
Showcasing new-look centre backs made up of youngster Dan Burn, who was recently recalled from his loan spell at Birmingham, and the returning Brede Hangeland, a player the Whites have missed through injury of late, Fulham started the more positive of the two.
And were ahead on the quarter hour mark, as Darren Bent found himself in the right place at the right time, getting on the end of an Ashkan Dejagah flick-on from a Steve Sidwell cross, to rifle his shot into the roof of the net.
Unfamiliarly for Fulham, who tend to go on the defensive after finding themselves in a positive position, they continued to take the game to Norwich and doubled their lead just before half time.
Capitalising on a mistake from Norwich keeper Mark Bunn, who literally threw away possession, Sascha Riether played through Alex Kacaniklic who cut it back for Dejagah to score a simple tap-in.
After the break Norwich started the stronger, with Ricky Van Wolfswinkel being brought on in place of Nathan Redmond.
But the Canaries failed to take their chances, and in 68 minutes Sidwell theoretically killed the game, powering a close-range header past the outstretched Bunn.
Going into round 4 Fulham will face Sheffield United at Bramall Lane on Sunday 26 at 1pm.