The striker failed to find the back of the net in Argentina's first four games at the FIFA World Cup, but was on target with a fine finish in the eighth minute of Saturday's quarter-final at Estadio Nacional.
Higuain's early goal proved to be decisive as Alejandro Sabella's men secured a 1-0 victory to set up a semi-final against the Netherlands in Sao Paulo on Wednesday.
"I wasn't getting desperate about scoring because I knew I was going to get a goal sooner or later," said Higuain.
"Obviously I'm very happy, especially with this being such a historically important win for Argentina.
"They've been asking me since day one when the goal was going to come and I've always given them the same answer: 'I'm working on it'."
He said "It's not been an easy situation for me. I very nearly didn't make it to the World Cup at all, but fortunately everything has worked out and I've been able to get that goal."
