He said a trade package between the teams still needed to be worked out.
"My intention is to play for the New York Jets," Rodgers said on the Pat McAfee show.
"I haven't been holding anything up. At this point it has been compensation that the Packers are trying to get for me," he said.
"The Packers would like to move on, they have let me know that in so many words, and have let other people know that in direct words.
Rodgers' 18 seasons in Green Bay are the most by any player in Packers history. He led to the team to a Super Bowl victory in 2011 and is the franchise's all-time passing touchdown leader.
"I love you Green Bay, thank you," he said. "I'm as sad as some of you are. But we'll meet again."
If Rodgers does leave Green Bay it is expected that Jordan Love (24), who the Packers selected in the first round of the 2020 draft, will become the team's starting quarterback.
"Jordan is going to be a great player," Rodgers said. "He's a great kid, they got a good young team."
