"I am really very happy because in the first part of the season I think it is not easy for us to gain points", Sarri said.
N'Golo Kante scored the first goal of the game, playing in a notably advanced role while the likes of Pedro and Willian proved useful out wide.
Chelsea scored the fewest goals of the top six last season and have also struggled in that department in pre-season.
After an opening half hour in which Chelsea had more of the ball but were kept at arm's length by a smartly-drilled Huddersfield side, the visitors took the lead with a whiff of fortune. Jorginho stepped up and cooly found the back of the net.
The new head coach was helped by a returning World Cup victor and a new signing.
There were howls of protest from the stands, but Huddersfield's players were broadly quiet, and rightly so.More news: Day, Scott in mix at PGA as play suspended
The striker needs a goal to get his confidence up or both he and Chelsea may suffer.
Pedro made it three in the 80th minute by chipping in over Hamer after he was fed by Eden Hazard, who came on as a substitute. Executed by Hazard, finished by Pedro. Maurizio Sarri's side bossed possession from the outset in West Yorkshire, where it took 20 minutes for Alex Pritchard to muster a shot on target - an attempt that was straight down the barrel and comfortably stopped.
It was interesting that, when asked about transfers, Sarri only ever mentioned that he might like another midfielder.
"We have to improve to defend in the other half, to press against three defenders".
Midfield is where Sarri's team will be made, so it was interesting to watch how they fared.
"I think the players have done everything, left everything on the grass".More news: Team gives medication to sick killer whale at sea
MF Jorginho, 8 - Chelsea's new midfield general looked composed and creative throughout as he confidently played give-and-go football with his teammates. Under Sarri, they could be maximised.
That left Vieira with midfielder Bassem Srarfi as a makeshift forward - and the Tunisia global was ineffective.
The ex-Everton man put in an impressive shift before being replaced by fellow Englishman Ruben Loftus-Cheek. We have to improve in this month, then it might be hard with the national teams.
"Then we were 2-0 down after I think a good half and I think second half we started very slow, we were shocked". Ultimately, Kepa Arrizabalaga, Chelsea's new £72m goalkeeper, had little to do.
"We had the chance for the equaliser, but we hit the underside of the bar and this is what happens".
Speaking after the game, the Italian was pleased with how his side got the job done against a "physical" Huddersfield line-up.More news: Discord Announces It'll Launch Its Own Games Store
"On 23 of the last 25 Serie A (seasons), 91 points was enough to win the title".