The native of Gatineau, Quebec, has played in 916 career NHL regular-season games with the Phoenix Coyotes, Buffalo Sabres, Philadelphia Flyers and Habs, and has accumulated 299 goals and 385 assists for 684 points, along with 726 penalty minutes.
Briere was originally drafted 24th overall by the Coyotes in the 1996 NHL Entry Draft.
Parenteau, 31, registered 14 goals and 19 assists for 33 points in 55 games with the Avs this past season.
In 291 career NHL regular-season games with the Chicago Blackhawks, New York Rangers, New York Islanders and Avalanche, Parenteau has accumulated 73 goals and 132 assists for 205 points.
The native of Hull, Quebec, was selected in the ninth-round, 264th overall, by the Mighty Ducks of Anaheim in the 2001 NHL Entry Draft.