Sen. John McCain John Sidney McCainCindy McCain endorses Biden: He's only candidate 'who stands up for our values' Biden says Cindy McCain will endorse him Biden's six best bets in 2016 Trump states MORE (R-Ariz.) on Thursday slammed Donald Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE for saying he may not accept the outcome of the presidential election.

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"I don’t know who’s going to win the presidential election. I do know that in every previous election, the loser congratulates the winner and calls them 'my president,' " McCain, the 2008 GOP presidential nominee, said in a statement.

"That’s not just the Republican way or the Democratic way. It’s the American way," he said, adding that Americans should "respect the decision of the majority even when we disagree with it. Especially when we disagree with it."

McCain didn't mention Trump by name in the statement. But it comes one day after the 2016 GOP nominee refused to say during the third presidential debate that he would accept the results of the election.

"I will look at it at the time. I'm not looking at anything now," Trump said at the Las Vegas debate.

- Updated at 12:59 p.m.