It saw them become the first non-League side to beat top-flight opposition in the Barclays Premier League era.
Scott Rendell's 80th-minute strike earned the Hatters, who have spent much of the last 20 years battling oblivion and financial woes, a 1-0 victory at Carrow Road against a side 85 places above them in the football pyramid.
The 1959 finalists and 1994 semi-fina
lists emulated Sutton, who in 1989 beat top-flight Coventry.
Luton now reside in the Blue Square Premier, yet, after a third-round defeat of Wolves and the victory over Norwich, Buckle believes his players are more suited to playing on the big occasion.
"I feel we can play on this sort of stage," Buckle said.
"If we could have a brilliant pitch every week it would make life a lot easier for us.
"On a good surface on a good day like this you can get your point across.
"I knew what Norwich were going to do; move the ball, trying to open us up.
"It's like a game of chess but at the level we play at sometimes it's not like that.
"Sometimes when you play on a poor pitch it can be a real leveller. The last three or four have been impossible to play any football; it's been a fight."
After tumbling down the divisions and exiting the Football League, Luton, who next play Grimsby in the FA Trophy on Tuesday, are targeting a return. At sixth in the Blue Square Premier they are firmly in contention.
Buckle believes the recruits to Kenilworth Road have aided the Cup run.
"We are desperate to play in the league and we bought a lot of league players who can really raise their game for this type of tie," the former Torquay and Bristol Rovers boss said.
"You can't rely on luck for 90 minutes. You've got to rely on good organisation, fitness levels and the quality to go score a goal and I honestly believe we've got that.
"I think we can take incredible belief from this. We've proved that we are a good side."
After seven losses in 10 games Norwich must prove once more that they are a good side.
The Luton loss came just a week after a 5-0 defeat at Liverpool which extended the winless league run to six matches.
Norwich boss Chris Hughton knows the embarrassing loss will frustrate fans.
"This is a game we're expected to win," Hughton said. "The criticism will be harsher from all quarters. It's normal.
"We expect all of the criticism that will come our way. We have to be able to take that on the chin. "A lot will be made of the fact we didn't win; probably more the fact Luton did win.
"We had the better chances over the game and were the better team.
"(But) we've got to give them credit. They took the one that mattered."
Hughton knows it is important his 13th-placed side put the defeat behind them quickly and re-focus on Wednesday's Premier League clash with Tottenham.
"Every club will go through this, the ups and downs, it's about how you bounce back," he said.
The addition of a striker, be it Celtic's Gary Hooper or Sporting Lisbon's Ricky van Wolfswinkel, would be welcome, but time is running out as the transfer window comes to a close.
"We've been endeavouring to do that," Hughton added.
"People on the outside think it's very easy to bring in the players you want. It doesn't work that way.
"If you look at the strikers who've come in you've got to look at the circumstances. That's generally big fees and big salaries.
"These are things that we have to work around. We're still hopeful that come Thursday we'll have some additions."