The Blues battered Huddersfield 5-0 yesterday with both of their attacking stars striking twice.
Higuain rifled the ball past Jonas Lossl into the Huddersfield net to open his Chelsea account and settle any nerves following a 4-0 defeat to Bournemouth.
He added a second goal before Hazard chipped in with a brace of his own and David Luiz completed the thrashing.
Speaking with Chelsea TV after their victory, Hazard suggested that his side are able to topple anyone – if they are in the mood.
He said: "We need to be focused. This month is going to be hard, but we are Chelsea. We can beat everyone if we want.”
The Belgian also had great things to say about his new team-mate Higuain.
He added: “He's a great striker.
“He's a bit less of a target man than (Olivier) Giroud, but he can hold the ball, he can play one touches and he's intelligent.
"In the box he's unbelievable. He will score more goals.”
While the Blues' form has been inconsistent lately, Hazard hopes they can get back-to-back wins next week when Chelsea travel to the Etihad to face the league champions Manchester City.
Chelsea were the first team to defeat Pep Guardiola's men and the 28-year-old has a game plan to defeat the champions.
Hazard said: "I think they will have the ball. City have these kinds of players to play together. We will defend well and then we will score one goal or two."
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