A trade may be the best resolution, but Thompson and McCarthy declined to discuss that possibility. Thompson said he had not received any inquiries from other teams as of Saturday morning.
"We've communicated that to Brett, that we have since moved forward," Thompson said. "At the same time, we've never said that there couldn't be some role that he might play here. But I would understand his point that he would want to play."
When asked whether that role might be as a backup or coach, Thompson said: "not a coach."
Added McCarthy: "He did ask about that, though."
Favre, who led the Packers to a Super Bowl title after the 1996 season, held a tearful news conference to announce his retirement March 6. The Packers planned to begin the season with Aaron Rodgers as the starting quarterback.
McCarthy said he and Thompson were in constant communication with Favre throughout the offseason.
"Quite frankly, it's a little gut-wrenching as an organization to go through it, and certainly for Mike and myself," Thompson said. "This stuff hurts a lot of people. I mean, it hurts. I'm not talking about physically hurting, but the sensitivity. We understand where the fans are coming from. This is a hot-button issue that surpasses anything I've ever gone through."