Peterson is originally from Palestine, Texas, about a two-hour drive from Dallas.
Peterson, 30, remains under contract with the Vikings for the next three seasons. He is scheduled to make $12.75 million in 2015, plus a $250,000 workout bonus, but counts $15.4 million against Minnesota's salary cap for next season.
"It would be nice," Peterson said to WFAA.com. "I've got family here; my dad's here. But I'm under contract, so we'll see."
Peterson missed 15 games last year after being indicted on assault charges for hitting his 4-year-old son with a switch.
He was on the commissioner’s exempt list until he was suspended without pay for the remainder of the 2014 season in November after he pleaded no contest to misdemeanor reckless assault.
Peterson was reinstated from the commissioner's exempt list on April 16, allowing him to participate in the team’s offseason program.
Cowboys owner/general manager Jerry Jones said that he "wouldn't dare talk about" Peterson, and that the six-time Pro Bowler and 2012 NFL MVP was not in the team’s immediate plans.
Vikings general manager Rick Spielman repeated his stance on Tuesday, saying the team has "no interest" in trading Peterson.
"I think Coach (Mike) Zimmer stated it pretty clear that we have no interest in trading Adrian Peterson, and we don't," Spielman said to the Associated Press. “We believe in Adrian Peterson, but also know that we're a pretty good football team with Adrian Peterson in our backfield as well."
- Scooby Axson