Head coach Bill Belichick called his choice not to play Butler a "football decision."
Butler is a former Pro Bowler, two-time Super Bowl champion and has started 16, 16 and 15 games in the last three years, respectively. He also has registered eight interceptions over the last three seasons.
He registered the game-winning interception against Russell Wilson in Super Bowl XLIX.
Butler will be an unrestricted free agent this summer.