The midfielder spoke of his enjoyment at starting his first game at Carrow Road and hopes to see the Canaries build upon their display against QPR at the weekend
The attacker, who joined from Leeds United this summer, saw his Canaries career get off to a disastrous start with a 5-0 opening day defeat to Fulham.
However, the 24-year-old believes that Chris Hughton's men can take more positives from their draw with the west London outfit.
Snodgrass told the Daily Star: "It was definitely a lot better than the game last week, for me and the team.
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"After that performance at Fulham it was great to see everybody play so well against a very tough QPR side.
"We can take loads of positives from that performance. We could easily have won it by three or four goals."
Snodgrass also spoke of his delight at reuniting with Jonny Howson and Bradley Johnson, whom he played alongside at Leeds.
He added: "It's funny how it has all worked out, with three of the four midfielders here being Leeds old boys.
"But it's a bonus for me. I've played with them both loads of times before, so we know all each other's strengths and weaknesses.
"But to be honest, I already knew most of the Norwich players pretty well too because I've played against them so many times.
"Everybody's working hard and we are enjoying our football. We are young and hungry. Hopefully we can build on this."