Goals from N'Golo Kanté, Jorginho from the penalty spot and a late Pedro finish ensured all three points for the visitors - though they could count themselves fortunate to hold a two-goal advantage going into the half-time interval.
Eden Hazard also produced a lively cameo after coming on as a 76th-minute substitute, creating Chelsea's third goal, rounding off a near ideal start to life in English football for Sarri, who had predicted that his team would encounter problems with results and performances in the first half of the season.
Kepa Arrizabalaga made his Chelsea debut at Huddersfield, just days after becoming the most expensive goalkeeper in history.
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"I am very happy because in the first part of the season for us it is not easy to gain points".
Discussing his arrivals, the manager said: "The club was willing and we took a great goalkeeper, very young but he can become a great goalkeeper". We are not a physical team.
"You have to wait for a couple of months", said Sarri when asked how long it would take to adjust. "But, for the moment, he's not Courtois, of course", Sarri told a pre-match press conference. The players in this moment need to think what to do too much, and so the ball is not moved at the right speed, material and mental, at this moment. Alex Pritchard and Steven Mounie combined well at times in the first half, but produced few clear-cut chances.
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"We are not a physical team and I think the best of the game is the capacity of suffering for 15 minutes".
"I have huge respect for Sarri, but he was the only one who wanted me at Chelsea", Higuain said at his Milan unveiling. And then [after that] it will be hard, especially with the national teams.
Kepa, signed from Atheltic Bilbao for £72.1million on Thursday, had little to do for the opening 20 minutes as Chelsea hogged the ball, but made a hash of an early touch when he passed straight to Town midfielder Aaron Mooy. "But I have to adapt myself on the characteristics of the players, and not vice versa".
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There were questions over whether Huddersfield could keep things rolling after their achievement last season and they really didn't play badly, especially in the first half.