In spite of the attacking talent in their team, France looked awkward and disjointed against Australia.
The 49-year-old, a member of France's 1998 World Cup winning team, said Peru should not be underestimated.
With two wins from two matches in Group C, France is through to the next round with a match to spare.
It was a deflating end for the tens of thousands of Peruvians who travelled to Russian Federation from Europe, the United States and Peru to witness the return of the team and their iconic shirt to the world stage after a painfully long absence.
France need to draw their final group game against Denmark next Tuesday to be certain of topping Group C, but with Argentina or Croatia a potential opponent in the next round, Les Bleus will need to raise their game to be certain of advancing further in Russian Federation.
Hugo Lloris who was making his 100th appearance for the Le Bleus remained nearly tested an ambitious strike from Yoshimar Yotun, but the shot from the halfway line drifted wide.
Peru's tempo and pressing left France on edge but Antoine Griezmann did seize on a ricochet yet sliced well wide after 11 minutes.
Peru threatened the Danes throughout their first encounter but were unable to make some key chances count.
Peru coach Ricardo Gareca put a courageous face on his team's premature World Cup exit, saying his side had left a positive image but that he was sorry for their huge army of travelling fans.
Paolo Guerrero started for Peru after coming off the bench in the opening loss to Denmark.
Peru have not won a game at a World Cup since 1978, having failed to win any of their three outings in 1982, so perhaps their record of two defeats so far is no surprise.
To this end, Lloris is looking to France's second match in the 2014 World Cup - a 5-2 hammering of Swizterland with Giroud and Griezmann combining to devastating effect - as a benchmark.
But he stressed Peru, appearing at the World Cup for the first time in 36 years, would not be overawed.
Peru nearly got their equaliser when a 30-yard piledriver from Pedro Aquino flew inches away from the left post.
Another good movement from Peru saw Carrillo crossing from the right to left for Farfan, but his header could only hit the side-netting. He put Blaise Matuidi and Olivier Giroud in the starting lineup but kept his same 4-3-2-1 formation with Giroud out front.
France went 1-0 into the half time after Kylian Mbappe opened the scoring for Les Blues against Peru in Ekaterinburg Arena.
Didier Deschamps' men came in for criticism for their performance and their coach reacted on Thursday by making two alterations.
Fast, exciting and now the youngest scorer in France's World Cup history.
- Oppo found a really creative way to kill the smartphone 'notch'
- England are a "long way from perfection", says Southgate
- Unapologetic Trump digs in on immigration
- Taliban and Afghans hug and take selfies during unprecedented ceasefire
- Young Super Eagles earning their World Cup wings
- Family separations will persist under Trump’s order
- 'Papa! Papa!' Audio of children stokes rage over separation
- England make world record ODI cricket score against Australia
- Pentagon suspends Korea ‘war game’ planning for August
- Lucky Spain top Group B after win against Iran