The Canaries currently sit 17th on the Premier League table as they prepare for Saturday's trip to London to take on Fulham at Craven Cottage.
Norwich are a place above the Cottagers, five points clear of the drop zone, which Snodgrass feels gives the Norfolk club a slight edge as they embark on the final five fixtures of the season.
"It is a battle of who wants it most, who wants to keep their club in the Premier League. I'm relishing it, I can't wait," said Snodgrass.
"It's now or never to try to get a result. It doesn't come any bigger than this.
"They'll come out all guns blazing. I don't care what way the game is (played), just give every single thing you've got. It's time for characters, leaders, everything you've possibly got.
"It's a time for heroes. I want to be that person. I want to be the person that keeps Norwich in the Premier League.
"I want to be part of that. I don't want to be part of a side that gets relegated."
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