The result leaves France on six points and Denmark and Australia on four and one respectively after their 1-1 draw earlier in the day.
YEKATERINBURG, RUSSIA-Fast, exciting and now the youngest scorer in France's World Cup history.
Didier Deschamps' side face Denmark on Tuesday with top spot in Group C at stake but progression to the next stage assured. "We came into this match with a completely different set of expectations, but I have nothing to hold against my players", Peru coach Ricardo Gareca said.
"I think that everybody was very, very good", Pogba said.
But with numerous other supposed big guns at the tournament toiling, the former worldwide midfielder and World Cup victor as a player said two wins from two games should not be sniffed at.
"This aided with the recovering of the ball in the first half - less so in the second half".
The 34-year-old, whose doping ban was frozen just before the World Cup, is a likely starter after he impressed with his footwork when he came off the bench in Peru's opening match.
Ronaldo goal earns Portugal 1-0 victory over Morocco
They didn't go without a fight, though, with Rui Patricio in sparkling form in the Portugal goal. Iran have three points and Spain one ahead of their meeting later today.
The South Americans' last appearance was in 1982 and they made this like a home game, ensuring their red and white dominated the Yekaterinburg Arena.
Peru coach Ricardo Gareca said: "We thank the Peruvian fans so much for the great support in Russian Federation". They were encouraged by a great crowd - it was like we were the away team. There was this huge mass of people following us.
"It is something that is unique and fantastic".
Deschamps has an impressive selection of forwards to choose from and is expected to give Olivier Giroud a start at the expense of Ousmane Dembele as he switches from a 4-3-3 to a 4-4-2 formation.
Deschamps had clearly told his side, disappointing in beating Australia 2-1 in their opener, to go long and use Giroud's physicality. Peru's campaign is now over after successive 1-0 defeats.
Thursday marked the 100th worldwide appearance for Lloris. Veteran centre-forward Paolo Guerrero, who returned to the starting line-up after missing the Denmark game in place of Jefferson Farfan, had a left-footed shot on goal from around 12 yards out in the 29th minute but France keeper Hugo Lloris was alert.
France were nearly flawless in the first half, but their South American opposition showed some sheer determination and tenacity to push the game to the edges in the second half.
But for all their possession, Peru - in their distinctive white kit with red sash - caused the French defence few problems.