The 39-year-old Betancourt was hit in the sixth inning by Brett Eibner's liner. He was checked by a trainer before leaving the mound.
Betancourt made his fourth spring appearance for the Rockies. He was their closer in 2012-13 before needing Tommy John surgery, was out of the majors last season and is a non-roster invite this year.
Kendrys Morales homered for the Royals.
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