Pedro doubled Chelsea's lead in the 30th when he latched onto Darren Fletcher's misplaced chest pass and drove a fine finish across goalkeeper Jack Butland.
The summer signing from Real Madrid grabbed his hat-trick goal eight minutes from time when Azpilicueta chested the ball into his path in the area and he poked the ball home inside the six-yard box.
Chelsea remain three points behind Manchester City, but Conte isn't concerned about the flying start made by the leaders and second-placed Manchester United.
"This season Stoke have won at home against Arsenal and drawn against Manchester United".
Goals by Leroy Sané (44′ minutes), Raheem Sterling (51′ minutes, 59′ minutes), Sergio Agüero (79′ minutes), Fabian Delph (89′ minutes) helped the Pep Guardiola's side sink the Eagles 5-0.
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Coutinho laid on an assist for Mohamed Salah before curling a stunning free kick into the top corner to put Juergen Klopp's side in control.
Elsewhere, Oumar Niasse scored twice as Everton came from behind to beat Bournemouth 2-1 at Goodison Park and move out of the relegation zone.
An assured display from the champions threatened to unravel early in the second half when Marcos Alonso committed two fouls in quick succession, but referee Mike Dean issued just one yellow card to the Spaniard before he was substituted.
In the other matches on Saturday, Burnley drew goalless with Huddersfield, while Watford secured a 2-1 win over Swansea City.
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"But ultimately he tipped the balance of the scales and he became a problem to the team, the spirit of the team and he could've destabilised the dressing room - and you get rid".
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