Republican 2012 presidential candidate Herman Cain, who was recently criticized for saying he wouldn’t permit Muslims in his cabinet, says he wouldn’t have a problem with openly gay appointees.

“Nope, not at all. I wouldn’t have a problem with that at all,” Cain told ThinkProgress at an event in Iowa. “I want them qualified, I want them to basically believe in the Constitution of the United States of America. So, yup, I don’t have a problem with appointing an openly gay person.”

“Because they are not going to try to put Sharia law in our laws,” he said, with a giggle.

Cain, the former CEO of Godfather’s Pizza, has never held elected office, but he has recently surged in the Republican primary polls.

Watch the video, via ThinkProgress’s Marie Diamond.