Pyeongchang will be Ms. Vonn's first Games since Vancouver 2010.
In an interview with CNN, Vonn was asked what it will be like to compete for the USA when Trump is the president. "I don't think that there are a lot of people now in our government that do that", added Vonn, 33, who is eyeing her second Olympic gold medal at the South Korea Games.
Targeting Olympic gold at February's Winter Olympics in Pyeongchang, Vonn is in St. Moritz, Switzerland, where she spoke passionately about what it means to compete for the United States ski team.
"I hope to represent the people of the United States, not the president", Ms. Vonn said.
VONN: Absolutely not. No.
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"I have to win to be invited [to the White House]". In the CNN interview, she also said she wouldn't accept an invitation to the White House.
The Golden State Warriors notably skipped their White House trip as National Basketball Association champions earlier this year after Trump withdrew his invitation to star Stephen Curry, who had previously announced he didn't want to go.
Typically, the entire U.S. Olympic squad gets an invite to the White House after the games.
Vonn added, "I want to represent our country well".
A knee injury kept Vonn out of the 2014 Games in Sochi. She is a four-time overall World Cup champion and one of six women to have won World Cup races in all five disciplines of alpine skiing: downhill, super-G, giant slalom, slalom, and super combined.