Brown has four years remaining on his contract, and the Eagles have indicated that they will not renegotiate his deal.
After dealing with a similar situation with Lito Sheppard, it is considered unlikely that the Eagles will deal Brown at this time.
"I feel like it has been a total lack of respect," Brown told ESPN's Sal Paolantonio on Monday.
Brown told Paolantonio he has been trying to get a new deal for more than a year, but the Eagles have said no.
Brown said his agent has now asked the Eagles for permission to seek a trade.
The Eagles released a statement expressing disappointment in Brown's decision to go public, explaining that Brown accepted an extension of his rookie contract early that provided his family financial security for the rest of his life. That extension removed any concerns about health or performance that all other players in his draft class had to worry about.
Brown has four years remaining on the contract, and the Eagles feel he is being paid fairly.
"Focusing only on a player's salary for a given year is not a valid analysis," the Eagles said in a statement.
"There have been league MVP's, Super Bowl champion quarterbacks, and perennial Pro Bowlers who have been in a similar situation. All of their teams have required them to wait until their contract expired or there was only one year remaining before any adjustment took place. It is only in the most extraordinary, in fact, less than a handful of circumstances in the last ten years that any players two new years into a contract with three years left have been adjusted. We don't think this qualifies as an extraordinary circumstance.
"Sheldon's comments under the circumstances actually serve to devalue him in a trade if we were willing to consider it; which we are not."