In the 1994 World Cup, Redondo started in all of Argentina's matches, but was unable to prevent the country from falling 2–3 to Romania in the round of 16. Following the tournament in the United States he refused to play under Daniel Passarella who had banned long hair, earrings and homosexuals in his squad, leading to disputes with several players. The former refused the latter's demand to cut his hair, and was left out of the national team as even Diego Maradona and president Carlos Menem went on to take sides in the situation.