The meeting took place Monday, just days after the departure of White House aide Omarosa Manigault Newman, the former reality TV star.
"I met with them just for a few minutes and said we are looking for talented young men and women of any age that would be willing to come and serve the country for some period of time," Kelly said he told the group.
He added that he wasn't specifically calling for African-American or women applicants
Kelly also asked his guests to spread the word around, in case they knew people who were looking for "something that is very fulfilling."
"We're looking for good people," he said.