As things stand, they face a tough test to ensure a top-four finish.
Sarri was pleased with Jorginho's role in Chelsea's greater fluidity going forward - they scored more than twice in a Premier League match for the first time since November - and claimed that the midfielder's less convincing displays this season have been due in part to the mistakes of those around him.
"We all needed that", Belgium worldwide Hazard told Chelsea's TV channel.
The Blues responded after a 4-0 loss at Bournemouth - their worst league defeat since 1996 - by beating Huddersfield 5-0 at Stamford Bridge.
Sarri, aware that Jorginho is central to his footballing philosophy, continued: "We have movements without the ball and, for Jorginho, it's easier I think". City have these kinds of players to play together.
Cole won the Premier League, League Cup, Champions League, Europa League and four FA Cups during a trophy-laden spell with the Blues, however, he believes it was Scolari who produced the best football in his short spell in charge.
On-loan Juventus striker Higuain and Hazard teamed up for the first time at Bournemouth, but there was far greater optimism following the win over Huddersfield.
"In the box he's unbelievable".
"It's going to be a different game than two or three months ago", said Hazard. "He will score more goals".
"I think Kovacic could be a very good option, then we need to recover completely [Ruben] Loftus-Cheek after the back problem".
"I think it was a good discussion, important for everyone and today we showed it was important for us to make a point". "It doesn't matter the player that plays there, we have the same profile of football and that's what the manager says to us: 'Play fast, play quick'".