ESPN's Adam Schefter, citing unnamed league and team sources, said Rodgers has told some inside the organization he wants to leave.
According to the report, the San Francisco 49ers called the Packers on Wednesday and the Rams had reached out to Green Bay in January before trading quarterback Jared Goff to the Detroit Lions in exchange for quarterback Matthew Stafford. The Packers do not want to trade Rodgers, the report said.
According to media reports and the salary tracking website Spotrac, Rodgers is signed through the 2023 season.
When reached by CNN, the Packers provided a statement from Gutekunst, which previously was provided to ESPN: "As we've stated since the season ended, we are committed to Aaron in 2021 and beyond. Aaron has been a vital part of our success and we look forward to competing for another championship with him leading our team."
Rodgers, 37, won his third NFL MVP award last season. His first season with Green Bay was 2005.