But beyond that 5-0 victory against the Premier League's bottom side, it has been far from plane sailing during Higuain's first few weeks at Stamford Bridge.
Sarri is under pressure after some dismal results. Four months after being crowned Premier League champions, Chelsea were already in the grip of a crisis that would cost him his job.
Manchester City went back to the top of the table on Sunday following their 6-0 demolition of Chelsea.
Higuain, who played the full 90 minutes up front, had his chances during the game but it was a torrid afternoon for all involved at Chelsea. And, in the wake of the crushing defeat, Sarri has come under scathing criticism from Jamie Carragher.
"They are going up against an incredible team".
While Chelsea are still in four competitions, Higuain's view he was linking up with "wonderful team-mates" may be challenged by fans.
Paul Scholes appointed manager of Oldham
Salford, expectedly, will join League Two (where Oldham plays) next season and there were initial fears of conflict of interests.
"I stand by my comment about Sarri turning Chelsea into Arsenal".
"He helped me with his methods, but especially with his words".
"The training ground and all the facilities are at a great level - everything they have here is of the highest standard".
Chelsea's players are understood to be unhappy with a rigid and automatic approach to training, with the manager's drills created to fast-track the group into understanding his methodology.
Chelsea now face a season-defining run of fixtures, starting with Thursday night's Europa League trip to Malmo.
"So we talk about the attacking players City have at the other end, Liverpool can nearly match them I would say, but in terms of Van Dijk, Liverpool have the best defender".