Jamie Vardy scored the opener, and Danny Drinkwater followed with an absolute screamer off the volley for Leicester against Liverpool at King Power Stadium on Monday, with the Foxes responding positively to the sudden dismissal of its manager, who was replaced in the interim by Craig Shakespeare.
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Vardy, like he did so often last season, got in behind the Liverpool defense to latch onto a pass from Marc Albrighton before beating Simon Mignolet on the break to give Leicester a 1-0 lead in the 28th minute.
Leicester began the day in 18th place and in the drop zone, while Liverpool could leap into third place with a win.
Leicester ousted Ranieri, who oversaw the club's incredible championship run last season, on Thursday, with the team mired in a slump and a relegation fight. Vardy's goal was the club's first in seven league games in 2017, with the club going 0-5-1 in the new year entering Monday's game.
Leicester also remains alive in the Champions League, where it faces a 2-1 deficit to Sevilla going into the home leg of the round of 16.