The Scottish international scored the only goal of the game at Carrow Road as the Canaries eased their relegation fears with a narrow victory.
Norwich are now four points clear of the drop zone with 11 games left to play.
"It was a massive win, especially with teams around us losing yesterday it was key to get three points today," Snodgrass told Sky Sports News.
"The performances over last three or four weeks have been terrific, but we've shot ourselves in the foot with conceding silly goals, so we're delighted with the win today."
Norwich continue their battle against relegation on Saturday against Aston Villa at Villa Park.