The 23-year-old believes that the Blancos can overcome their Champions League quarter-final opponents Tottenham Hotspur to achieve European glory this season.
The Argentina striker was visibly glowing throughout the entire duration of the press conference after returning from his injury setback several months before he was expected to make a recovery.
"It honestly is a great pleasure to be in the quarter-finals with this team. I had a serious injury and I knew when I returned that this is a great challenge.
"We all have an enormous enthusiasm to conquer the Champions League. However, we must get a good result at home and then go to England to defend the tie. We must go for it and make a great game."
Speaking of his return to the playing field against Sporting Gijon on Saturday, he commented: "The first thing was to see what experience I was having. I was happy because there are no problems [upon my substitute appearance].
"At first I was anxious, but I felt I finished the game well and now I am willing to help the team in any capacity. I'm happy that I returned when no-one knew if I could for certain this season."
In the same vein as his coach Jose Mourinho, he declined to comment on 1-0 loss to Sporting at the weekend, telling reporters: "No more talk about the match against Sporting. It has passed and now we will fight for the Champions League and I will try to do my best to ensure that we win."
Emmanuel Adebayor joined the club on loan in the January transfer window while he was injured, and on the topic of increased competition for places in the team, he said: "I played against Sporting with Adebayor and felt comfortable. I adapted to his presence in attack, I did what the coach told me and there is no problem."
Despite his absence from the first-team picture, Higuain has still managed to hit double-figures in goals this season, with 10 strikes in just 19 appearances.
He will be looking to increase his goal tally in the Champions League this season when los Merengues host Tottenham on Tuesday night.