Peru already led 1-0 when Guerrero followed up to score from close range in the 41st minute after an initial shot was saved.
Peru captain Paolo Guerrero started his first worldwide game since June after having his drug ban delayed until the end of the World Cup and the forward marked his return to global action with two goals.
In Russia, Peru are in Group C along with Denmark, France and Australia.
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He capped the performance with an emphatic downward header in the 64th minute after Carrillo tricked his way down the left before providing a pinpoint cross.
However, a Swiss tribunal agreed to suspend the punishment temporarily while it considers an appeal from the striker, leaving him clear to play at the finals in Russian Federation.
Now 34, the talismanic captain, who has hit 34 goals for his country, was restored to the team after a bruising legal battle to overturn a ban for doping which nearly went wrong when the initial appeal was rejected and the punishment extended to include the World Cup.
"It was very emotional, for him, for his team mates, for all the supporters, and for his family and I am very happy", Peru coach Ricardo Gareca said.