The Canaries are five points clear of the drop zone, and Fulham, with five games remaining, and a win at Craven Cottage could be decisive.
The importance of Saturday's fixture is not lost on Snodgrass.
"It is a battle of who wants it most," the Scotland winger said.
"Who wants to keep their club in the Premier League
I'm relishing it, I can't wait.
"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."
Snodgrass gave a similarly rousing and passionate speech last month, with nine games to go, ahead of the loss at Southampton.
"There's so many times we've spoken and not put it into action," Snodgrass added.
"I hear too much about what other teams can do
We've got players in this team who can hurt teams.
"We've shown it on a few occasions and it's up to us now to try to get those men scoring goals, creating chances and hopefully the new gaffer can do it."
Norwich have just two away wins all season and are bidding to end a six-match losing streak on the road with a first win over Fulham since March 1986.
With a daunting final four matches against Liverpool at home, Manchester United away, Chelsea away and Arsenal at home, pressure is piled on the Fulham fixture.
Snodgrass, who maintains Norwich can beat anyone, added: "People speak about five cup finals
We'll approach every single game believing we can win the game and it's our cup final.
"There's no hiding place
Let's go and have a go."
Adams knows the club intimately and the players must swiftly embrace the new man, according to Snodgrass.
"We will move forward and we're fully behind the new manager as a team," Snodgrass added.
"The new manager's come in, he's got his ideas, buy into it fast, roll your sleeves up and let's have a go."
Hughton released a statement, through the League Managers' Association, on Wednesday insisting he could keep Norwich in the top-flight and the timing of his departure was questioned.
The Norwich players learned of the sackings of Hughton and his assistants Colin Calderwood and Paul Trollope by text message on Saturday and are now looking only forward.
"We can't affect that," Snodgrass added.
"As players you get told last
Then it's a case of there's a new person in charge, on you go.
"From a players' point a view, you shouldn't be giving any more or any less.
"You should be giving your all every single day
It doesn't matter who's in charge.
"Hopefully we can get the new manager off to a winning start on Saturday.
"He's got Norwich in his blood
He knows exactly what it means to the fans and that's what we should all think about, what it means to this city.
"What it means for this club staying in the Premier League and for us, as players, as well.
"Some of us might never get that chance again to play there (in the Premier League)."
Source : PA
Source: PA