Dean Smith would have been hoping his side would react after shipping in five goals against Arsenal on Boxing Day.
But they succumbed to a 3-0 defeat at Selhurst Park.
Norwich fell behind after eight minutes when Odsonne Édouard found the back of the net.
Jean-Philippe Mateta and Jeffrey Schlupp also got on the scoresheet as the hosts led 3-0 at half-time.
Norwich didn’t concede in the second half but their fans inside the ground were still very upset.
They directed some of their frustrations at their 20-year-old midfielder, Billy Gilmour.
The Scottish midfielder is currently on a season-long loan at The Canaries from Chelsea.
He played the full 90 minutes during the game.
And the Norwich supporters weren’t impressed with his performance.
A video has emerged on Twitter of Norwich fans at the game singing ‘F*** off back to Chelsea’ at the youngster.
That is so poor from Norwich fans.
Granted, Gilmour hasn’t exactly been a success since joining the club and he may have been poor on Tuesday afternoon.
But to chant abuse like that at a player who is trying to do his best and make a name for himself in the Premier League is not acceptable.
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It would not be a surprise at all should Gilmour’s loan at the club be cut short in the coming days.
Norwich have now gone seven hours without scoring a Premier League goal.
They are rock bottom of England’s top tier and three points away from safety having accumulated 10 points from their opening 19 games.