New owner Milan Mandaric was given a rapturous welcome before kick-off and the Serbian-American tycoon then received an instant return on his £25million investment as the rampant Foxes raced into a three-goal lead inside 30 minutes.
The first clear chance of the game fell to the home side after three minutes when a Levi Porter corner reached Jason Jarrett at the far post but the midfielder, on loan from Preston, failed to control the ball and the danger was cleared.
The Foxes continued to press and they were rewarded with the opening goal on 11 minutes when Porter's cross from the left channel was met by Geoff Horsfield. The veteran striker's header looped over the keeper and across the goal-line.
Andy Marshall then did well to push away Iain Hume's long-range shot as Leicester continued to pour forward.
And the flying Foxes doubled their lead on 18 minutes when Hume crossed from the right and Andy Johnson stooped to head home from six yards out.
A third goal after 26 minutes was no surprise with Hume stepping over Nils-Eric Johansson's low cross to allow Horsfield to turn and fire a low shot into the far corner of the net.
Coventry's best retort at this stage was an effort by Leon McKenzie who had pulled away to the far post before heading just wide.
Two minutes before the break Mark Yeates had time to control Porter's cross from the left before stepping inside his marker and crashing in an 18-yard drive which Marshall was grateful to scramble away.
Coventry began the second half in more determined mood with Paul Henderson having to be alert to keep out headers from first Dele Adebola and then McKenzie.
Bolstered by their commanding lead Leicester slackened the pace after the re-start safe in the knowledge that, as Coventry continued to push forward in numbers in a bid to rescue something from the game, gaps would begin to appear at the back for the home side to exploit.
In the 78th minute Adebola headed McKenzie's mis-hit shot just wide before Leicester substitute Richard Stearman was a whisker away from getting a head to a Hume cross.
Then, in the dying moments, Henderson comfortably gathered Adebola's weak shot from distance to cap a miserable afternoon for the visitors.