Pogba was named as FIFA's Best Young Player of the 2014 World Cup, but the 25-year-old has been criticised for his inconsistency by fans of Manchester United and Les Bleus in recent years.
Petit, who won the 1998 World Cup and Euro 2000, believes that Pogba performs at his best when frustrated and trying to prove a point.
"We all know Pogba has great potential but I want to see the same Pogba I saw against Manchester City when United won 3-2," Petit told Paddy Power.
"I want to see that Pogba, with the mindset that he is against the world, when he has no option but to show to the rest of the world that he has the potential to be one of the best in his position.
"He thrives on anger sometimes and I want that Pogba. I wish we could have Pogba like this every game. Every time he is angry, every time he has this anger inside of him and he wants to show people are wrong, I know I want this guy."
France will open their Russia World Cup campaign against Australia on June 16.