In the interview, Lagerfeld talks about his own views on parenting. Declaring children were not for him as "for men, I don't believe in it", he said that Roitfeld, who is the mother of two "beautiful, intelligent" children, was lucky.
"No one can say that you don't take care of them. You're also lucky because they are very beautiful. It would have been difficult to have an ugly daughter," he said.
Roitfeld and her two aesthetically-pleasing children, 28-year-old Julia and 26-year-old Vladimir, have recently been signed up to front an advertising campaign for upmarket New York department store Barneys.
The two, who are longtime friends, also commiserated with each other about the problems of being rich and privileged.
"You're in your car, you're in you're jet - you don't have a grip on reality," lamented Roitfeld.
Talking of Roitfeld's departure from Vogue, Lagerfeld congratulated her on leaving, saying she had been "literally jailed" before.
"I think you're more like a bird that can't be put in a cage," he told her. "I don't want to compare myself to you, but it's like at Chanel, I can do what I want, when I want, where I want. And that's because I am worth more when I'm free. I think it's the same thing for you."
Lagerfeld, an accomplished photographer, also took a series of shots of Roitfeld for the magazine article.