During his weekly radio appearance on 94.1 WIP on Monday, Pederson said the Eagles would win Sunday at AT&T Stadium.
"We're going down to Dallas, and our guys are gonna be ready to play. And we're gonna win that football game, and when we do, we're in first place in the NFC East," Pederson told the radio station. "We control our own destiny. We're right where we need to be."
When asked later Monday about the comments, Pederson denied ever making a guarantee.
"Never said. ... I never said 'guarantee a win,'" Pederson said. "I'd never do that."
Pederson added he had no regrets about how he phrased his comments during his radio appearance.
"No, because it shows confidence in our football team," Pederson said. "I promise you [Cowboys coach] Jason Garrett is going to say the same thing with his team, that they are going to win the football game as well. I'm not going to stand up here and go on record and say, 'We're going to go there and try and win a game. Man, hopefully we can go win this one.' It just doesn't show confidence. And I want to show confidence in our players. We got a ton of confidence in them."
Garrett did not take the bait when Pederson's comments were relayed to him.
My response is we're excited about the challenge," Garrett said. "Obviously they're a great football team and we're going to focus on ourselves and what we need to do to prepare to play our best football on Sunday night."
Pederson's words did not make it into Garrett's talk to the players Monday.
"I swear it don't mean nothing to me. Honestly, it doesn't bother me," cornerback Jourdan Lewis said. "That's what you're supposed to do. You're supposed to come out here and try to beat us. I mean, he said it publicly. Doesn't matter. I mean we already understood that there was going to be questions on it, but we got to go out there and execute and win this game. We have to go out there and play our best game.
Said right tackle La'el Collins: "It's always funny when you hear people talk. We don't really feed off people talking. But it's always funny just to see people talking."
Pederson made the original comments after saying he understands the fan base's mindset that "the sky is falling" following a 38-20 loss to the Minnesota Vikings that dropped the Eagles to 3-3 on the season.
"Has it been beautiful or perfect or all of that? No," Pederson told the radio station of the Eagles' start. "But all we have to do is try to be 1-0 this week, beat the Dallas Cowboys [and] we're in first place.
"And listen, they're reeling, too. They're struggling, too. They've dropped their last three games. So this will be an exciting football game."
ESPN's Todd Archer contributed to this report.