Goals from Mason Mount, Pedro, Willian and Giroud Cemented the blues fourth place in the Premier League table.
Carlo Ancelotti was warmly welcomed by Chelsea fans to Stamford Bridge for the clash, where he had previously won the FA Cup trophy for the blues.
An early goal, scored by Mount Mason who ended his 18- game goalless draught gave Chelsea the lead in the 14th minute of the game.
Pedro Rodriguez was on the scoring sheet for Frank Lampard’s side. The Spaniard latched on to a cross from Ross Barkley to score his first goal of the season.
Everton goalkeeper Pickford was beaten by a 20-yard fine finish from Willian to extend Chelsea’s lead to three goals.
The Italian tactician return to stamford bridge was utterly disappointing as his side could not respond to Chelsea fireworks.
The fourth goal was conceded by Everton from a 51st William corner kick, the Brazilian cross found olivere Giroud for a tap in for the French striker.
Everton remains 12th on the Premier League table with 37points from 29 games.
Frank Lampard’s side retained the fourth position and extends their lead over Wolverhampton wanderers to six points after Nuno Espirito Santo’s side dropped points in yesterday’s goalless draw against Brighton.