The 21-year-old set up both of the Ivorians' goals as they came from behind to earn a 2-1 victory late on Saturday night.
"I can't believe it," the youngster told FIFA.com. "It's my first World Cup, we're here in Brazil and I helped the team to win. It's like a dream."
Aurier and his teammates return to action on Thursday when they face Group C leaders Colombia.