Kings GM Dean Lombardi confirmed that the Rangers will interview Stevens.
Vancouver will also talk to Stevens about their vacant head coaching position.
Stevens was head coach of the Philadelphia Flyers from 2006 through 25 games in 2010. He went 122-111 with two playoff appearances, in 07-08 and 08-09 respectively.
1:10AM: It was reported yesterday that the Rangers have been granted permission to speak with LA assistant coach John Stevens about their vacant head coaching position.
Helene Elliotte writes in the LA Times that during his time with the Kings, Stevens has guided the defense and penalty killing units.
Stevens was a former Flyers coach who joined Terry Murray in LA and Darryl Sutter kept him around after Murray was fired.
Sutter said that he feels like Stevens wants another shot at being a head coach.
The Globe and Mail lists Stevens as the front runner for the Canucks job and calls him "defensive minded."
The Globe and Mail note that Stevens has a reputation as a player developer dating back to his days in the AHL and that Vancouver is looking for someone to work with young players because that wasn't Alain Vigneault best attribute.