The mother-of-six is currently in Cannes with her boyfriend Corey Gamble, but was happy to talk about her ex-husband's "inspirational" transition from male to female.
"I think it's amazing," Kris told Extra about Caitlyn's transition. "I think that someone following their dream is truly inspirational to a lot of people… you have to do what makes you happy."
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Kris Jenner said Caitlyn Jenner is "inspirational"
Kris has maintained a silence on social media since the cover was unveiled at the start of June, however she was interviewed for the debut article.
She said: "He was married to me, and he wasn't who he wanted to be so he was miserable.
"We fought a lot because we would go out together and before we got to the end of the block we were in a fight because he started saying, 'When can we go home?'"
Caitlyn's family have supported her completely throughout her transition, with many of her children and stepchildren coming together to celebrate her first Father's Day since becoming a woman on Sunday.
Sharing a photo from the family celebration on Twitter, Caitlyn wrote: "Great day yesterday for Father's Day. We had so much fun off-roading. So much love and support! Love my family!"
Meanwhile Caitlyn's children posted Father's Day tributes on social media, with 19-year-old Kendall Jenner writing: "My whole life this soul was my daddy and just because your appearance is different now doesn't mean you were any less of a father to me my entire life.
"Happy Father's Day to the person who raised me, and taught me everything I know, my hero."
Her sister Kylie Jenner quoted Caitlyn herself in her post, writing: "Happy Father's Day my little light of sunshine 'You can still call me dad, Kylie. No matter what I'm always going to be your father. That's never going to change'."