Richardson told Manish Mehta of the New York Daily News he was asked to take a pay cut to make a trade work. The defensive lineman specifically mentioned the Seattle Seahawks and Washington Redskins as suitors.
"It's a business, bro," Richardson said. "There was one team that asked me to take a pay cut ... and it was Seattle. And Washington too. There were a lot of offers. A lot of good offers. You'd be surprised."
Richardson is set to make $8.1 million in the fifth and final year of his rookie contract.
According to Mehta, trade partners attempted to "low-ball" the Jets to take Richardson off their hands.
New York owns a glut of defensive linemen after re-signing Muhammad Wilkerson to a massive extension last year and selecting Leonard Williams with the No. 6 overall pick in 2015. With Richardson set to reach free agency next offseason, the Jets could look to move him again before the trade deadline.
The 26-year-old, however, hopes New York gives him a long-term extension to keep its stout defensive line intact during the team's rebuild.
"That's their decision," Richardson said of getting a multi-year deal with the Jets. "Would I pay me? I'd pay me ... I would [keep Williams, Wilkerson and him], because you can save money in other places with a stout defensive line."