The A&E cable channel briefly suspended Willie's father, Phil, from the show after he used lewd imagery to describe homosexuality, which he compared to bestiality.
"It seems like, to me, a vagina -- as a man -- would be more desirable than a man's anus. That's just me. I'm just thinking: There's more there! She's got more to offer. I mean, come on, dudes! You know what I'm saying? But hey, sin: It's not logical, my man. It's just not logical," he told GQ magazine in an interview published in December.
Willie and his wife, Korie, were asked during a Fox News interview Tuesday night how they felt about Phil's suspension.
"We're just glad to be back to work," Willie said. "A&E and us are fine. We're looking forward to getting back to making some funny shows. It's a new year, so we're ready to break in a new year and start all over again."
The pair hinted there will be new people featured in the show this season, which premieres Jan. 15.
"I'm just glad the family is all together," Korie said. "The best thing about the show is we get to do it together as a family, and that fact that we get to continue to do that, we're all happy, happy, happy."