Higuain had failed to find the back of the net in his previous five games but struck a brace in Napoli's 4-2 triumph at Lazio on Monday to silence his critics.
"I am delighted to have helped the team win," the summer signing from Real Madrid said to Gazzetta dello Sport.
"It was a very important result.
"It had been a while since I scored but it hasn't been a big weight on me because I've had the trust of everyone and I've always been calm."
Monday's win in Rome was Napoli's 10th of the campaign and allowed Rafael Benitez's side to strengthen their hold on third place in Serie A, moving them four points clear of Inter Milan below them.
They are also now three points behind Roma in second spot, with leaders Juventus are a further three points clear.
"There is still a long way to go and we are doing well," Higuain said. "We still have to grow as a team but we have an interesting project, with so many talented players and a good coach."
Napoli host Udinese on Sunday.