Bennett was released with the designation that he failed to disclose a physical condition.
Bennett was inactive during the Packers' Monday night loss to Detroit.
After his one season with the Patriots, Bennett signed a three-year, $21 million contract with the Packers. In his seven games for the green and gold, he had 24 catches for 233 yards.
Somehow the rest of the National Football League let the New England Patriots, who have struggled in recent weeks once they get inside the red zone, acquire a 6-foot-7, 275-pound tight end who had seven touchdowns last season.
General manager Ted Thompson announced the move on Wednesday after practice. Bennett spent the previous three years in Chicago, where he still lives, after beginning his career with the Dallas Cowboys and a one-year stint with the New York Giants. He is the brother of the Seahawks' Michael Bennett, who has sat during the anthem. The economics are favorable to the club: It's really a bargain price for 2017, as Bennett will receive a prorated portion of his base salary, which totals $423,529, as well as be eligible for $300,000 in roster bonuses.
"Well, I mean you can't deny the facts of your timeline and how everything went down", McCarthy said Thursday.
Bennett was perfectly healthy the first seven weeks of the season and played 83.4 percent of the snaps. Both have had 50-catch seasons.
Bennett gives the Patriots a secondary receiving option at tight end, as No. 2 tight end Dwayne Allen has struggled in the passing game.