Gudbranson likely will be among the players the Canucks protect from the Vegas Golden Knights in the NHL Expansion Draft.
"Erik is a big, strong physical defender who I know feels has a lot to prove and has worked diligently in his injury rehab," Benning said in a statement. "He has leadership qualities that will be important for our young team and we are excited to see him healthy and back on the blue line next season."
Gudbranson (6-foot-5, 220 pounds) missed 52 games this season after having wrist surgery in December. He finished with six points (one goal, five assists) in 30 games.
The Canucks acquired Gudbranson in a trade with the Florida Panthers for forward Jared McCann on May 25, 2016. The Panthers selected Gudbranson with the No. 3 pick in the 2010 NHL Draft. He has 49 points (12 goals, 37 assists) in 339 regular-season games with the Canucks and Panthers.