The hosts were unfortunate to find themselves two goals down at half time following goals from N'Golo Kante and Jorginho, the latter of whom marked his debut in English football with a cheeky penalty on the stroke of half time.
However, last season's lowest scorers once again struggled to pose enough problems in the final third, and by full time Chelsea were worthy of their three-goal triumph after Pedro had capped off the scoring 10 minutes from time.
Jorginho was not the only debutant on show for Chelsea, but world-record goalkeeper signing Kepa Arrizabalaga had little to do throughout the match as he kept a clean sheet on his first appearance for the club.
The Spanish shot-stopper was the first keeper called into action after a quiet start to the match, although Alex Pritchard's strike from just outside the area never really threatened to beat him.
Steve Mounie also tried his luck from range as Huddersfield held their own against their more illustrious opponents, and the hosts could justifiably feel hard done by when Chelsea opened the scoring with their first shot on target.
The goal came from an unlikely source too, with World Cup winner Kante - deployed in a more advanced role under Sarri - matching his tally from the whole of last season by scuffing a volley into the far corner after being picked out by Willian.
Huddersfield almost produced an immediate response to going behind when a flicked-on corner was nodded goalwards by Mounie at the back post, but with Kepa beaten the ball struck the inside of the upright before being hacked away by the defence.
It would prove to be a pivotal moment in the match as Chelsea doubled their advantage right on the stroke of half time after Marcos Alonso had been brought down inside the penalty area by a rash Christopher Schindler challenge.
Summer signing Jorginho stepped up to take the spot kick, calmly stroking the ball past Ben Hamer after sending the Huddersfield debutant the wrong way with an audacious run-up.
The half-time scoreline was harsh on the Terriers, but they offered few signs of getting back into the match after the interval and were fortunate not to fall further behind from two corners in quick succession shortly before the hour mark.
The first saw Antonio Rudiger step away from some statuesque defending before drawing a low save from Hamer, while the German defender once again got his head to the second delivery, nodding the ball into a dangerous area before Alonso produced an acrobatic scissor kick on the turn which crashed against the crossbar.
Alonso sent another effort just over the bar from a free kick before Huddersfield did finally offer some signs of life in the second half following the introduction of Adama Diakhaby, with Philip Billing sending a looping header against the angle of the woodwork, although Kepa had it covered all the way.
Perhaps the home side's best and final chance of clawing their way back into the match fell to Laurent Depoitre, who scored home and away against Chelsea last season but rushed his effort when he had space inside the area and blasted the ball over the top.
Any hopes of a late comeback from David Wagner's side were ended once and for all 10 minutes before full time, though, when Eden Hazard wielded an immediate influence after being introduced off the bench.
The Belgian burst forward through the middle before finding Pedro in space, and the Spaniard's delicate dink over Hamer sealed all three points for Chelsea.
The result leaves Chelsea - whose next match comes against London rivals Arsenal - as the early table-toppers by virtue of goal difference, whereas Huddersfield sink straight to the bottom of the pile ahead of next weekend's daunting trip to champions Manchester City.
HUDDERSFIELD (3-5-1-1): Hamer; Zanka, Schindler, Kongolo; Hadergjonaj, Mooy, Hogg, Billing, Lowe (Diakhaby 71'); Pritchard (Depoitre 46'); Mounie
CHELSEA (4-3-3): Kepa; Azpilicueta, Rudiger, Luiz, Alonso; Kante, Jorginho, Barkley (Loftus-Cheek 68'); Pedro (Moses 81'), Morata, Willian (Hazard 76')