Lavigne's ex, Sum 41 vocalist Deryck Whibley, produced many of the tracks on her new album, Goodbye Lullaby. The couple was married for four years before they split in July 2010.
"We're not doing each other but yes, we're friends," Lavigne said. "I really respect him as a person and as an artist so it's all good."
Lavigne, who is "grateful for the relationship" with her ex, told Handler that she would consider marrying again.
"It's all about love and I make that my number one priority," she said. "One day I would hope to have kids and do that whole thing. Right now I'm very focused on my career, my album, my tour and naturally when that happens for me next, ya I'll go for it."