Hatch, 84, told NBC News that he should've kept his mouth shut about his thoughts on McCain, 81, who has been battling an aggressive form of brain cancer and is home in Arizona after he underwent surgery last month for an intestinal infection.
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"I felt badly, I had spoken out of turn," Hatch said. "I shouldn't have said what I said."
McCain's daughter, Meghan, said earlier Tuesday on ABC's "The View" that people criticizing her father needed to relax.
"I would like everyone to take a collective breath and chill out on my dad for a second, especially Orrin Hatch," she said.
People close to McCain have informed the White House that the senator does not want Trump to be at his funeral, a source told NBC News. The source said McCain wants Vice President Mike Pence to represent the White House instead. Among the expected eulogists are former Presidents Barack Obama and George W. Bush, the source said.
On Monday, Hatch called McCain's plans for his funeral "ridiculous."
"He's the president of the United States and he's a very good man. But it's up to (McCain),” Hatch told Politico.
Hatch also said that he didn't expect McCain to return to the Senate.