Norwich's Cameron Jerome and Bristol City's Hordur Magnusson during tonight's match
Jonny Howson scored the only goal of the game with a right-footed shot from ten yards out in the 38th minute.
The win sends Alex Neil's men up to 2nd in the Championship table after a 4-1 win away to Blackburn and a scoreless draw at home to Sheffield Wednesday.
The Canaries were good value for their win and have continued their unbeaten start to the season, although they may feel they should have won by a more convincing margin.
The match stats show that Norwich were comfortably on top throughout the game, as they had 57% possession along with 16 shots on goal compared to Bristol's six shots.
Jonny Howson celebrates scoring the game's only goal
However, with only four of the 16 shots on target, the likes of Wes Hoolahan and Cameron Jerome will hope they can convert more chances in future matches.
Canaries fans took to Twitter to give their opinion on the match and the club's current state of affairs. Supporters are understandably happy with the start to the season, although there were complaints about the performance of Steven Naismith.
There was however a lot of positivity about the influence of Canos when he came on to the field.
@NorwichCityFC Well done city. A win. Now for that new striker— DEREK DAWSON (@DEREKDAWSON8) August 16, 2016
We have 7 from 9 and haven't even been very good in the last 2! Got so much more to come from the side. Gonna be a good season #ncfc— Lee Jermyn (@LeeJermyn) August 16, 2016
Finally, Canos looked very tidy when he came on. He could be signing of the summer (not much competition I admit) #ncfc— Andrew Nickerson (@andrewnickerson) August 16, 2016
#ncfc Thought Naismith had a poor game. On that form, Pritchard could find himself in side over him.— Andrew Nickerson (@andrewnickerson) August 16, 2016
Solid win, could have been a couple more but for the woodwork. Alex Tettey, you were immense sir! The big one next... #ncfc— Ben Mouncer (@benmouncer) August 16, 2016
A fairly solid start to the season so far, not pulling up trees but it's better to build the momentum that peak too soon #NCFC— Terri Westg te (@TerriWestgate) August 16, 2016
I'd like to see Canos start over Josh Murphy at Ipswich on Sunday. Was very lively when he came on and caused Bristol City problems #ncfc— kieran butt (@Ginger_Canary) August 16, 2016
3 games. 2 wins. 1 goal conceded. Strikers still to be added. More performance wise to come too. Rather content with where we're at. #NCFC— Cory (@iwritethings23) August 16, 2016
Norwich make the trip to Portman Road for Sunday's noon kick-off against Ipswich Town for the much-anticipated first instalment of this year's East Anglian Derby.
With Ipswich having drawn with Wolves tonight and lying in 12th place, the Canaries will be confident of continuing their winning ways.