The Paris Saint-Germain defender has refused to condemn the challenge that has ruled Brazil's star forward out of the rest of the competition
The forward was challenged late in Brazil's match 2-1 win over Colombia by Juan Camilo Zuniga and suffered a fractured vertebra, meaning he is now expected to be sidelined for an extended period.
The Paris Saint-Germain defender does not hold any grudge against the culprit but has admitted he is hurting for a player he described as his "brother".
"It's a dream [to play in the next round], but we're a bit sad Neymar is out of the competition," he stated. "He's a great guy, a great person and a great player. He brings good things to football. Everyone feels a bit sad because he's like a brother to me.
"Am I Angry? No. I've not seen the video, so I don't know how it happened.
"I never crucify players because in life you do things because you don't think, you're emotional. If he wanted to do that, he'll feel sad. If he just tried to stop the game, that's natural, that's football."
Brazil are on course for a sixth world title, but if it is achieved, it will be dedicted to a broader cause than just the 22-year-old.
"We'll try to win the competition for Brazil!" he said. "It would be great if we can win and we can celebrate with him."
It was Luiz's superb free kick that proved the difference over the Colombians, and he joked that it was down to his "genetics".
The centre-back struck an unstoppable shot in the 69th minute to give Brazil a 2-0 lead in their World Cup quarter-final in Fortaleza and it turned out to be the decisive goal as Colombia's James Rodriguez reduced the deficit from the penalty spot late in the game.
It was only his second goal for Brazil, with the first coming in the 1-1 draw against Chile in the sides' last-16 tie earlier this week, which was settled on penalties.
Then, Chile's Gonzalo Jara looked to have got the final touch, but there was absolutely no doubt about this one as the Paris Saint-Germain defender blasted a fierce effort into the right-hand corner from 34 yards out.
"I think it's my genetics," he said after claiming the Man of the Match award. "I was born with legs like these. Today was great because I hit the ball at the perfect point. I'm happy I can help my team like this."
Brazil's win sets up a semi-final clash with Germany on Tuesday and Luiz is full of respect for Joachim Low's side.
"They are a great team with a great coach and a great philosophy to play football," he said. "It will be a great game."
In that match, however, Luiz will be without central defensive partner Thiago Silva, who picked up a yellow card on Friday and will be suspended against Germany.
"The other two [Dante and Henrique] who can play are also great players," Luiz said. "They are dreaming of playing in a World Cup. We'll miss our captain, but we will be well served. God touched this man beside me - and he knows how to find the best players."