The Scotland international has praised his new Carrow Road team-mates for the effort they put in and insists Chris Hughton's young squad can build on their recent good form
The Scotland international arrived at Carrow Road from Championship club Leeds United in the summer, but endured a difficult start to life in the Premier League as Chris Hughton's side went seven games without a win.
Norwich were hammered 5-0 on the opening day by Fulham at Craven Cottage and were also hit for five at home to Liverpool, with Luis Suarez netting a hat-trick.
But following a hard-fought 1-0 win over Arsenal, Hughton's side have put together a run of five games without defeat in all competitions.
And Snodgrass remains confident his new side can maintain their current form as they welcome Manchester United on Saturday.
"There is a great work ethic and a great belief around the place," he told the Norwich Evening News.
"There are no big-time Charlies or players that get carried away with themselves.
"This club is built on the success from League One and the Championship and when Leeds played against them they were always a hard-working team.
"The boys have got a point to prove. They're all young, hungry lads and we have to keep building on it."