Bill Murray, David Letterman Bill Murray, David Letterman

Bill Murray is throwing his (feathered) hat into the ring to star in NBC's upcoming live Peter Pan musical.

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The Monuments Men star (literally) dropped into The Late Show with David Letterman Friday, clad in a full Peter Pan costume and singing "I'm Flying." "I love to fly. ... I feel like this is my moment," Murray said of the planned musical. "I think I'm the guy."

Later in the show, Murray allowed his longtime pal Letterman to shave his beard.

Check out Murray's singing, high-flying entrance below. Who do you think should star in the Peter Pan musical?