Norwich have now found the net just once in the past six league and FA Cup games, having been beaten 1-0 at home by Luton in round four.
"Fulham have a lot of quality in their side, but we are disappointed because we are at home and the emphasis was to look to get three points," said the Norwich manager, who is set to take his squad off for some warm weather training in Abu Dhabi next week.
"We did not have enough in the final third and lacked that bit of quality, but it is a point and if you cannot win these games, you certainly have to make sure you do not lose them."
Hughton added: "It [lack of goals] is a concern, and it has to be, but we also have to look at the positives.
"We have managed to stop a poor run, albeit not with wins."