Josip Drmic scored a hat-trick in the first half after Marco Stiepermann having scrambled an early opener, with the striker's third swiftly following a reply from the hosts.
Manchester City loanee Patrick Roberts was involved in the creation of three of those goals and then curled home a sumptuous strike in the 55th minute to wrap up a 5-1 victory.
Luton were promoted as League One champions and begin their Championship season against Middlesbrough on Friday but couldn't cope with the classy attacking play of Daniel Farke's team.
The Canaries complete pre-season with Carrow Road games against Atalanta on Tuesday and Toulouse on Saturday, before they begin their Premier League challenge at Liverpool on Friday, August 9.
Marco Stiepermann of Norwich scores his sides 1st goal during the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
- Keep scrolling down to see more of the images from our regular City photographer Paul Chesterton, of Focus Images
Dan Potts of Luton Town scores his sides 1st goal during the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
Josip Drmic of Norwich celebrates scoring his sideÕs 3rd goal during the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
Norwich Head Coach Daniel Farke acknowledges the traveling Norwich fans at the end of the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
The traveling Norwich fans during the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
James Collins of Luton Town and Grant Hanley of Norwich in action during the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
James Collins of Luton Town and Grant Hanley of Norwich in action during the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
Josip Drmic scored a hat-trick as City beat Luton Picture: Paul Chesterton/Focus Images (Image: Paul Chesterton)
Josip Drmic of Norwich celebrates scoring his sideÕs 3rd goal during the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
Patrick Roberts was in fine form for the Canaries at Luton Picture: Paul Chesterton/Focus Images (Image: Paul Chesterton)
Elliot Lee of Luton Town and Marco Stiepermann of Norwich in action during the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
A flare is let off in the Norwich end during the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
Tim Krul of Norwich collects the ball safely during the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
Patrick Roberts capped a fine display with a long range goal Picture: Paul Chesterton/Focus Images Ltd (Image: Paul Chesterton)
Josip Drmic of Norwich celebrates scoring his sides 2nd goal during the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
Marco Stiepermann opened the scoring for Norwich at Luton Picture: Paul Chesterton/Focus Images (Image: Paul Chesterton)
Marco Stiepermann of Norwich scores his sides 1st goal during the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
Norwich Head Coach Daniel Farke before the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
General view of the stadium before the Pre-season friendly match at Kenilworth Road, LutonPicture by Paul Chesterton/Focus Images Ltd +44 7904 64026727/07/2019 (Image: ©Focus Images Limitedwww.focus-images.co.uk+447814 482222)
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