While Peterson previously confirmed to the NFL Network that he would be open to returning to New Orleans, Payton addressed the topic on Saturday when asked about the possibility of adding Peterson following the four-game suspension imposed on fellow running back Mark Ingram.
"This gets back to the notion that we had any argument in Minnesota [during the 2017 season-opening game against the Vikings]," Payton said. "There was none. I think a ton of him, and that would be the part where if all of sudden we decided, 'Hey, we're going to look at additional players that are on the street,' his name, there will be a few others. We have him on a board right now, who's available. Veteran running backs stacked on a board graded, but he's a tough player, warrior, and a great worker and we had a good relationship."
Peterson's time last season with the Saints wasn't long after he signed a two-year, $7 million deal, as he became frustrated with his lack of playing time. The 33-year-old found himself behind Ingram and Alvin Kamara on the depth chart, with Kamara going on to win NFL Offensive Rookie of the Year honors.
New Orleans traded Peterson to the Arizona Cardinals on Oct. 10. He rushed for 448 yards and two touchdowns before a neck injury landed him on injured reserve to close out the season.
The Cardinals released Peterson on March 13.
Peterson rushed for more than 1,200 yards in seven of his 10 seasons with the Vikings, including a career-best 2,097 in his MVP campaign in 2012. He also rushed for 97 of his 99 career touchdowns with the Vikings.