He was a prolific goal scorer and a participant at the 1982 FIFA World Cup. He was also member of the Peru national football team for the qualification stages of the World Cup for Mexico 1986 and Italy 1990. Navarro played a total of 56 games for Peru between 1980 and 1989, scoring 16 goals. He made his debut on July 18, 1980 in a friendly match against Uruguay (0-0) in Montevideo. His last game came on August 27, 1989, also against Uruguay, this time in a World Cup Qualifier.
He is also famous because five minutes into the deciding game between Argentina and Peru for qualification into the 1986 FIFA World Cup in Mexico, the Argentine defender Julián Camino broke Navarro’s leg with a vicious tackle, taking him out of the game. In addition, the Argentine player was not expelled from the game. After that Argentina with Ricardo Gareca tied the game 2-2 and qualified to the World Cup. That same Argentine team would then win the World Cup in Mexico.