Gonzalez said he will not ask for a trade, so if the 37-year-old is going to be traded, he said, "It will have to come from them."
The Falcons are 2-5 after losing to the Arizona Cardinals on Sunday and are slowly seeing their playoff chances slip away.
The NFL trade deadline is 4 p.m. Eastern on Tuesday.
"I totally understand it," Gonzalez said to ESPN.com. "Everybody out there needs to understand that I'm not naive to it. I see it, too. This is the last [nine] weeks of my career. And right now, things are looking ... you never know.The team has said it has no plans to trade for Gonzalez, who has 38 catches for 395 yards and three touchdowns this season.
"But, like I said, I love my guys on this team too much to go ask for a trade. It would be something that would come from them where they said, 'Hey, it makes sense because we could get something good for you and send you to a team that's a contender.' So I understand the thought process behind that."