The 23-year-old was not impressed with the highly rated attacker's performances, and feels they looked frustrated as they were unable to leave their mark on the game
Zambrano, who netted the opening goal in the encounter, feels that the Barcelona forward and his Real Madrid colleague did nothing but complain throughout the match, and looked frustrated all game long.
"Messi and Higuain are little girls. All they did was complain about everything all game long," Zambrano was quoted as saying by Depor.pe.
"Messi must have been scared, because he didn't do much.
"Higuain attempted to provoke me throughout the game, but I took the high road and didn't take the bait. I never fell for his tricks.
"The Argentines acted frustrated and didn't know how to take us on. They tried to work me up with insults. They think they're untouchable, but that's wrong. Football is a game for men."
Argentina sit atop of the table in the Conmebol World Cup qualification group with 14 points from seven games, while Peru have collected seven points from as many matches.