Norwich travel to out of sorts Sunderland this weekend with both sides looking nervously over their shoulders at the drop zone.
The Canaries are nine points above the relegation places, while Sunderland are just six points above the bottom three.
Norwich also have to face Wigan, Reading and Aston Villa in the Premier League run-in and Snodgrass knows they still need to fight to secure their survival.
"Every game is a battle. You don't go out there in the Premier League and get an easy game - never," Snodgrass told the Pink Un.
"I've not had it since I arrived here and from the feedback from the other players, they've not had it either.
"You need to bite and scratch, do everything you possibly can as an individual to try to do better than your opponent.
"That's what it takes for 11 men on the park - to roll your sleeves up and battle. It's dogged down at the bottom of the league.
"Everyone is fighting for points - you see QPR have just picked up and it opens things up again and they might think they've got a chance of staying up.
"Everybody's trying to avoid relegation. People can speak about second season syndrome but we've beaten Manchester United and Arsenal and we're not saying it isn't tough.
"It doesn't get any easier as the games go on, especially when you're looking over your shoulder to see who's catching you."