Newton, 31, was forced off the field after a foot surgery in 2019 and was then cut by the team at the end of the season.
He won the 2010 Heisman Trophy playing for Auburn and was drafted as a number one overall pick in the 2011 NFL Draft.
In 2015, Newton won the NFL MVP award for leading the Carolina Panthers to Super Bowl 50 in Santa Clara.
CNN has reached out to the Patriots and Newton for comment.
Correction: An earlier version of this story listed the wrong Super Bowl for which Cam Newton won the NFL MVP. It was Super Bowl 50.