Kukan, a former Columbus Blue Jackets defenseman, won it with a wrist shot from the left face-off circle on a 2-on-1.
“I was first thinking about passing, but the shot was there,” Kukan said. “… We’re trying to get better every game, and hopefully we’re going to be even better next game. We’ll see where we end up.”
It was the first overtime game of the men’s hockey tournament and the last game of the preliminary round for each team. The qualifying playoffs begin Tuesday.
Roman Josi and Timo Meier each had a goal and an assist for Switzerland (1-1-1-0), and Leonardo Genoni made 29 saves.
“It’s huge,” said Josi, the Nashville Predators captain. “We knew it was a big game and it was a big game for them too. I thought we played a really solid game. Obviously a lot of ups and downs in the third period, but we found a way. Huge win against a really good team.”
Martin Necas had a goal and two assists, and Filip Chlapik had a goal and an assist for Czechia (1-0-1-1). Lukas Dostal made 25 saves.
Necas tied it 3-3 with 2:06 remaining in the third period, scoring on a one-timer in the left face-off circle with Dostal pulled for an extra attacker.
“I think it didn’t matter,” Necas said of his game-tying goal. “We needed the win and we didn’t get it.
“I think we’ve still gotten better than what we showed. We wanted the win; it didn’t matter if [it was] regulation, overtime, shootout … we wanted the win and didn’t get it today.”