Kadri, at this point, is expected to be out at least until the end of the Western Conference Finals. As such, if the Department of Player Safety has any interest in keeping things fair, Kane shouldn't play another game in this series either. There is precedent here. Kadri himself was suspended for the remainder of the series after cross checking Boston's
Jake Debrusk in the first round of the 2019 playoffs. The NHL did not specify whether the hearing would be done in person or over the phone, so at this point, it's impossible to say what sort of punishment George Parros has in mind.