Kahun inked a three-year contract with SC Bern on Monday.
Kahun will hit the open market after the Oilers decided not to give him a qualifying offer, Daniel Nugent-Bowman of The Athletic reports.
Kahun scored the game-winning goal and fired three shots in Wednesday's 4-3 overtime victory over the Canadiens.
Kahun scored a goal on two shots in a 4-3 overtime win over Montreal on Monday.
Kahun provided an assist, fired two shots on goal and went plus-3 in Monday's 6-1 win over the Jets.
Kahun scored a goal in Friday's 3-2 win over the Flames.
Kahun (undisclosed) will be in the lineup for Saturday's game versus the Flames, per the NHL media site.
Kahun (undisclosed) won't play in Wednesday's game versus the Maple Leafs, Bob Stauffer of the Oilers Radio Network reports.
Kahun was unable to participate in Tuesday's practice session. Head coach Dave Tippett told reporters, "He's unfit to practice, we'll leave it at that," Jim Matheson of the Edmonton Journal reports.
Kahun (undisclosed) is on the ice for Wednesday's practice, yo reports.