Kostka had two goals, one assist and a plus-3 rating in nine games for Chicago. He missed most of October and all of November with a lower-body injury. He was a healthy scratch in the Blackhawks' five games before the Olympic break and 13 times in the past 16 games.
He also had an assist and a plus-3 rating in two games with the Rockford IceHogs of the American Hockey League this season.
Kostka signed a one-year, $625,000 contract with the Blackhawks in July after playing in a career-high 35 games for the Toronto Maple Leafs in 2012-13, when he also set career-highs in assists (eight) and points (eight).
In 2011-12 Kostka won a Calder Cup championship with the Lightning affiliate Norfolk Admirals, where he had six goals, 12 points and a plus-14 rating in 18 games.