The 26-year-old forward will be free to sign with any team when free agency starts Friday, Oct. 9. He signed a six-year contract Sept. 1, 2017.
Wennberg scored 22 points (five goals, 17 assists) in 57 regular-season games and five points (three goals, two assists) in 10 postseason games this season. His points have declined each season since he scored an NHL career-high 59 points (13 goals, 46 assists) in 2016-17.
Selected by the Blue Jackets in the first round (No. 14) of the 2013 NHL Draft, Wennberg has scored 201 points (40 goals, 161 assists) in 415 regular-season games and eight points (four goals, four assists) in 22 Stanley Cup Playoff games.