Leicester host Sevilla in the second leg of their Champions League last-16 tie on Tuesday, trailing 2-1 from the first leg but with an away goal thanks to Jamie Vardy's strike in Spain.
The Foxes are 2-1 down going into the game.
In far less tumultuous fashion, Juventus confirmed its place in the quarterfinal with a 1-0 victory over Porto to win 3-0 on aggregate.
Sevilla hardly threatened the Leicester goal for the rest of the first half, as the likes of Nasri and Vitolo were kept quiet.
40 - Of the sides still in the competition, Leicester City has the lowest average share of possession this season in the Champions League (40 per cent).
Shakespeare was named caretaker boss after Claudio Ranieri was sacked on February 23, just nine months after guiding the Foxes to the title.
"It's not only for the players and manager but one of the biggest games in the club's history".
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Victory for Leicester makes it three wins out of three under the guidance of Shakespeare - this his first outing since it was formally announced he would lead the team for the remainder of the season following Ranieri's controversial sacking.
Sevilla began the second half with more objective and came within a coat of paint of equalizing in the 54th minute when Sergio Escudero's dipping effort from 30 meters beat Schmeichel but struck the underside of the crossbar.
In terms of setting up an exciting European second leg, the visiting side leading 2-1 is probably the ideal scoreline.
There was also a considerable groundswell of opinion that Ranieri had, at the very least, earned the right to try to drag Leicester out of the mire and see through the Champions League adventure after his exploits last term.
On a remarkable night of European football, the spirit of Kante loomed heavy over the King Power Stadium, as his former side played out of their skin to progress into an improbable quarter-final.
"We would have our sessions planned for the players and literally as we were walking out onto the training pitch Ranieri would come over and say, "I want to do this now with them, and he would change it". - The Foxes are the first English side to overcome a first leg defeat against Spanish opposition in the Champions League knock-out stages since Chelsea in 2005 (v Barcelona).
Three games as Leicester boss - three wins.