In the second period Jordan Greenway, the first African American to play for the USA men's Olympic hockey team, tapped in a puck that popped loose from a scrum in front of Kroselj.
The loss came despite the Americans holding a 2-0 lead late in the third period.
Brian O'Neill scored in the first period and Jordan Greenway added a goal in the second to put the U.S.in front 2-0.
Slovenian's had lost all 5 games against the US in prior tournaments and didn't step on the ice as favorites in this game either.
Jan Mursak who scored the winning goal, Jan Urbas, Rok Ticar of Slovenia and teammates celebrate the victory in overtime following the Ice Hockey Men Preliminary Round match between U.S. and Slovenia at Kwandong Hockey Centre on February 14, 2018 in Gangneung, South Korea. They have not played a single exhibition game together.
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Former 15-year National Hockey League veteran and team captain Brian Gionta leads the American roster for the tournament, which runs from Wednesday through February 24.
It is the first Winter Olympic men's hockey tournament in 24 years without NHL players. Brian O'Neill gave team U.S. a 1-0 lead at the end of the first period off a nice assist from Roe Garrett from behind the net.
"It was exciting to get my first, but it would have been much better to get a win tonight", said Greenway, one of four American college players in the USA team. Zapolski, 31, has appeared in 38 games with Jokerit of the KHL this season, sporting a 1.73 goals-against average and.932 save percentage.
Granato kept Team USA's starting goalie under wraps much of a lead-up to the Games, but on Tuesday gave Ryan Zapolski the nod in net for the opener. Greenway raced to the side of the net for the loose puck and scored on the rebound.
Slovenia took just three shots in the first period but continued to create more chances for itself as the game progressed. It's 2-2 after the first period.