Kukan will sign with a team in Switzerland's National League for the 2022-23 campaign.
Kukan had two goals and an assist in Sunday's 7-3 win over the Sabres.
Kukan picked up an assist in Thursday's overtime win over the Sabres.
Kukan (wrist) will be in the lineup versus Tampa Bay on Tuesday, Blue Jackets team reporter Jeff Svoboda reports.
Kukan (wrist) will not participate in Thursday's contest against Nashville, per Mark Scheig of The Hockey Writers.
Kukan was spotted in practice Sunday, according to Aaron Portzline of The Athletic.
Kukan suffered a fractured wrist in Monday's game against Dallas and was placed on injured reserve Tuesday. He's expected to miss eight weeks.
Kukan scored his first goal of the season on two shots in Tuesday's 6-3 loss to the Stars.
Kukan posted an assist in Tuesday's 3-2 overtime loss to the Red Wings.
Kukan (knee) will be ready to go when the Blue Jackets face off with the Maple Leafs in the playoffs, Blue Jackets team reporter Jeff Svoboda reports.