The play occurred as the third quarter ended in the Lakers' 119-108 loss. World Peace seemed to connect his left elbow with Faried's head as both players went for a rebound after the Nuggets' Corey Brewer missed a shot from the corner.
No foul was called at the time.
"I do have a teeth mark on my elbow," World Peace said before the Lakers' game against the Minnesota Timberwolves on Thursday. "I can tell you that. I don't know what happened.
"I don't want to be in the media complaining for guys coming up my back and smashing me," he added after deflecting questions about the incident for more than 10 minutes. "That's one of the reasons why I don't feel like saying anything, because then I have to complain, and I think I'm tougher than that."
World Peace is now tied with teammate Dwight Howard for the league lead in flagrant foul points with five.
If either player reaches six flagrant foul points, they will face an automatic one-game suspension.
"He can't get a flagrant," Lakers coach Mike D'Antoni said of World Peace. "He knows it. I can't take him out before he does it, because I don't know when he's going to do it. So, he just has got to stay away from that. Same with Dwight and same with Kobe (Bryant) with technicals. They just have to understand we can't afford to lose them and understand the gravity of each game and stay away from it. But, at the same time, you can't back down and play scared. You got to play your game."
Bryant has a league-leading 13 technical fouls. If that total reaches 16, he will face a one-game suspension. Bryant vowed earlier this week that he will not receive another technical this season.