The Nashville Predators are not having a good... Take your pick: week, month, season, longer. The previous head coach, Peter Laviolette, was relieved of his duties after a humiliating loss to a divisional rival in the Winter Classic; it’s possible that a similar poor performance in the Global Series this year might have been the end of John Hynes’s tenure.
It’s also possible that it might not have.
The conventional wisdom is that a NHL GM gets one change of head coach before ownership starts looking at the GM as the potential problem instead. This isn’t always the case—there are GMs who have made it through multiple coaches—but there are also plenty of situations that gave rise to that conventional wisdom in the first place.