Fox News faced new sexual harassment allegations on Sunday as Alisyn Camerota, a former anchor, accused the former Fox News chief Roger E. Ailes of saying “grossly inappropriate” things to her and once inviting her to a hotel room when she asked for new opportunities at work.

Mr. Ailes was ousted in July from the network he built into a conservative media powerhouse after multiple employees, including the former anchor Gretchen Carlson, accused him of sexual harassment. Ms. Camerota added her voice to that chorus on Sunday during an interview on the CNN show “Reliable Sources.”

“Yes, Roger Ailes did sexually harass me,” she said.

“I remember being in Roger’s office saying I wanted more opportunities,” Ms. Camerota recalled, “and he said: ‘Well, I would have to work with you — I would have to work with you really closely — and it may require us getting to know each other better, and that might have to happen away from here. And it might have to happen at a hotel. Do you know what I am saying?’”

Susan Estrich, a lawyer for Mr. Ailes, denied Ms. Camerota’s claims in a statement to CNN.

“These are unsubstantiated and false allegations,” Ms. Estrich said. “Mr. Ailes never engaged in the inappropriate conversations she now claims occurred, and he vigorously denies this fictional account of her interactions with him and of Fox News’s editorial policy.”