Luiz found the net from 30 yards on Friday as the hosts made their way through to the last four with a 2-1 victory over their South American rivals.
"I've been waiting all year for one like that, with Chelsea too, and Willian came up and had a joke with me about it," the 27-year-old told FIFA.com.
"I'm delighted it came in this game. I hit the ball well and it was lovely to watch it going in, moving like that, which made it very hard for the keeper."
Brazil will now meet Germany for a place in the World Cup final.