"I never take anything personally when it doesn't concern me. So, I didn't take it personally because I had nothing to do with these rumors or situation," Cotillard told host Matt Lauer. "I don't give energy to this."
"It was a wonderful, wonderful experience working with such a visionary director and an amazing actor, so that's all that matters," she said of director Robert Zemeckis (Back to the Future, Forrest Gump) and Pitt.
Cotillard and Pitt were rumored to have had an affair while filming the WWII movie Allied. Speculation intensified after Jolie filed for divorce from Pitt in September after two years of marriage and a decade together.
"I am not used to commenting on things like this nor taking them seriously but as this situation is spiraling and affecting people I love, I have to speak up," Cotillard wrote on Instagram amid the controversy.
"Many years ago, I met the man of my life, father of our son and of the baby we are expecting," she said of longtime partner Guillaume Canet. "He is my love, my best friend, the only one that I need."
Allied opens in theaters Nov. 23. Cotillard admitted at a press conference Sunday that filming a sex scene with Pitt for the film was an "awkward" experience.