The 34-year-old singer took to Twitter on Friday to slam a "stupid" article that suggested that Payne got a little too close to one of his dancers in Dubai.
"I usually don't bother myself to respond to stupid articles. But in my silence they hold the pen," Cole wrote. "This is a stupid article, clutching at very small straws. But I can't ignore this story involving an innocent dancer colleague of Liam's who has a fiancé, and dragging them into this desperate attempt to try to cause problems between Liam and I. Nor do I understand the almost daily onslaught of stories."
"The other 'mystery woman' in the story happens to be my long term friend and manager (that's embarrassing)," she continued. "I also happen to love Katy Perry."
Liam Payne on How Fatherhood Has Changed Him (Exclusive)
"The funniest thing was a week before we were getting married. The next week we’re splitting up," he said. "And the thing for me is, I just like to think we’re somewhere in the middle."
The former One Direction singer, who shares 1-year-old son Bear with Cole, admitted that they “have our struggles,” but he also shared a note of positivity: "It’s about whether you make it through or not, together, is the main point there I guess."
“I’m not gonna sit here and say that everything’s absolutely fine and dandy, because of course you go through different things, and that’s what a relationship is,” he added. "But we go through them together as a family and that’s the most important thing for me. This part of our relationship was never not going to happen, there was always going to be a little bit of tenseness in the way we sort ourselves out, but tell me a relationship in the world that doesn’t go through a spot like that?"