The veteran quarterback has potential starting opportunities with the New York Giants and Pittsburgh Steelers.
The Giants, who moved on from Daniel Jones, are reportedly open to signing Rodgers if he accepts their offer.
The Steelers are also considering Rodgers after losing Justin Fields to the New York Jets.
Minnesota is committed to developing J.J. McCarthy, making Rodgers a disruptive addition there.
The Steelers previously preferred Fields over Russell Wilson, but now they may see Rodgers as an upgrade.
At 41, Rodgers led the Jets to a disappointing 5-12 record last season, raising concerns about his performance.
While he may not be highly sought after, Rodgers still has leverage with two teams interested in him.