Canaries boss Chris Hughton has signed the 24-year-old Netherlands international striker for a reported £8.5million from Sporting Lisbon.
Hughton believes the signing of Van Wolfswinkel could be "the one that turns some of our draws into wins".
Norwich were short on firepower last season, with the team averaging just over a goal a game in the Premier League.
Van Wolfswinkel weighed in with 14 strikes for Sporting - the fourth highest of any player in Portugal's Primeira Liga - and notched three in their Europa League campaign.
His transfer fee is almost three times the amount Norwich paid Crewe Alexandra to sign Dean Ashton over eight years ago, but Van Wolfswinkel is not feeling any additional pressure.
"It shows me Norwich have a lot of confidence in me," he said in the Daily Star Sunday. "If anything, I see it more as a motivation.
"I'm confident of scoring goals. That's part and parcel of my job, but the most important thing for me is I am a team player."