Huddersfield were a persistent threat from crosses into the box and they went close to an equaliser when Steve Mounie headed Mathias Jorgensen's flick-on against the inside of the upright.
The Blues' new star in the midfield is Jorginho, who came over to Chelsea with Sarri from Napoli.
Laurent Depoitre had Town's best chance in the second half but he shot wildly over after being teed up by Florent Hadergjonaj.
On Monday four players from the World Cup arrived.
Fans will just have to hope the likes of Manchester United and Liverpool don't work them out as Maurizio Sarri sculpts his attacking brand of football.
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Chelsea made no mistake on their Premier League debut under Maurizio Sarri. The Italy global barely misplaced a pass and orchestrated the visitors' approach by keeping himself open and barking out orders. He did well with that and we as defenders we needed to help him and we did that. In Sarri's 4-3-3 he struggles to link up with his team-mates and often cuts an isolated figure in the final third.
Jorginho burst out laughing at how good Eden Hazard was in his cameo off the bench against Huddersfield on Saturday as Chelsea started the new Premier League season with a win.
It was one of the first pieces of subconscious and fluid play from Chelsea, and it immediately reaped rewards as it killed off Huddersfield just before half-time.
"There is a misunderstanding in the feeling that he wants to get a move for the wrong reasons, but certainly he was pushing to go out of Chelsea because of his child", Henrotay told BBC 5 Live's "Sportsweek" radio show.
The Blues have endured a hard summer after Chelsea FC finished in fifth spot in the Premier League table last term.
Summer signing Jorginho converted in trademark style from the spot, feinting during his run up to send Huddersfield debutant Ben Hamer the wrong way and stroking the ball into the opposite corner.