And Snodgrass fired home a free-kick midway through the second period before Leroy Fer struck in injury-time as Norwich claimed the three points.
He told Sky Sports 1: "After the 7-0 defeat to Man City last weekend it just showed the character of these players and everything about us...fantastic club, fantastic fans and a fantastic spirit and we needed that result.
"In the first half we didn't get going and we changed our shape and went to two up front.
"West Ham knocked the ball about really well and it was hard to get near them at time.
"We had a few feisty words at half-time and we needed to relax and take it as every other game, and I think we rolled our sleeves up and we deserved the victory."
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