The former Napoli boss achieved the feat after Chelsea thrashed Burnley 4-0 at Turf Moor on Sunday.
Despite Eden Hazard missing the fixture through injury, Chelsea continued their unbeaten start to the season and moved second in the top-flight with an emphatic victory.
Ross Barkley, who scored the late equaliser against Manchester United last weekend, set up Alvaro Morata’s first-half opener with a neat through ball.
The England international doubled Chelsea’s lead after half-time with a 25-yard strike that beat Burnley goalkeeper Joe Hart. Barkley’s contributions continued five minutes later when he assisted Willian, with the Brazilian making it 3-0 to the visitors.
Ruben Loftus-Cheek, who scored a hat-trick in the Europa League during the week, added a fourth in injury-time.
The victory means Chelsea are now second in the Premier League, two points behind leaders Liverpool and one behind Manchester City.
Speaking after the win, Chelsea star Barkley said: ‘We put in a top drawer performance today.
‘We are growing, we have momentum game by game and we can continue to improve.