Boss Brendan Rodgers urged Leicester to create history after the Foxes reached the FA Cup semi-finals for the first time since 1982.
Kelechi Iheanacho’s double and Youri Tielemans’ strike beat Manchester United 3-1 to set up a last four clash with Southampton at Wembley next month.
Mason Greenwood did equalise in the first half but United were second best as their hopes of winning a 13th FA Cup ended.
Leicester have reached the final four times but never won the competition and Rodgers wants to end that run.
“We are in the semi-final and we have a chance to get to the final and create history,” he said after only the Foxes’ second win over United in 23 years. “When it comes we will fight and give everything we can to achieve that.
“For the club to get to the final and win the trophy would be really special. It’s a trophy in their history they haven’t won. I would be so happy for the owners.
“There are lots of teams ahead of us in terms of budget or whatever else, maybe history, but the ambition is there to win titles and be competitive.
“It’s a tough game in the semi-final but the club has never won the FA Cup so to be able to do something like that will be special.
“We were very complete. You are playing against a top-class team but it was an outstanding performance against a very good side.
“We have developed very well, the confidence comes when you start to win big games against big opponents. We passed the test. It was a measure of how well the players are progressing.”
Fred’s howler gave the Foxes a 24th minute opener when his backpass to goalkeeper Dean Henderson was short and Iheanacho stole in to score.
Greenwood levelled 14 minutes later when he swept in Paul Pogba’s cross but that is as good as it got for United.
Tielemans restored Leicester’s lead seven minutes into the second half when he held off Fred’s half-hearted challenge and drilled into the bottom corner.
Jamie Vardy shot wide with just Henderson to beat but Iheanacho sealed the tie when he escaped from Scott McTominay to head in Marc Albrighton’s free-kick with 12 minutes left.
It was United’s first domestic away defeat in 30 games but they were well beaten with Leicester rarely needing to hit top gear.