The 27-year-old defender, easily identified by his fluffy mop of hair, cried during an emotional post-game interview on Tuesday.
"I am sorry for the Brazilian people," Luiz said.
"The team, we wanted to make them happy. We wanted to do this for the people who have suffered so much in Brazil. We wanted to make you happy in the World Cup but we couldn't do it," he added.
Brazil coach Luiz Felipe Scolari was similarly apologetic, and called the match the worst day of his life.
"Who decided the tactics? I did. So the person responsible is me. If I were to think of my life as a player, as a coach, as a teacher, this was the worst day of my life. I'll be remembered probably because I lost 7-1, the worst defeat Brazil have ever had," he said.