The Cowboys have not played in the Super Bowl since the 1995 season, while the Houston Texans are yet to reach the game after just 11 years in the NFL.
Pearson, who won a Super Bowl with the Cowboys, told ESPN: "Here's my prediction, the Cowboys will win the NFC, go to the Super Bowl and coming out of the AFC is going to be the Houston Texans.
"It's going to be an all-Texas Super Bowl in New Jersey, in the winter, in the cold weather, in the snow and all that. Two dome teams, haven't played in the cold weather all season, and now they're going up to Jersey and play in the cold weather.
"Everybody else has had a chance, let's let these guys have their opportunity."
Super Bowl XLVIII takes place at the MetLife Stadium in February.