The actor, 66, is set to play fictional private detective Philip Marlowe in a film being adapted from best-selling writer Banville's novel, The Black-Eyed Blonde.
"She said he was a black man".
Irish writer Banville, who published the novel under his pen name Benjamin Black, told the Press Association: "Does no-one listen any more?"
"I'm not racist. This was almost 40 years ago", Neeson continued.
The book was a sequel to Raymond Chandler's stories featuring the cult detective and is being adapted into the movie Marlowe.
Later that day the red carpet for the NY premiere of his latest action thriller Cold Pursuit was cancelled, though the screening itself went ahead.
For now, Neeson's next movie is Cold Pursuit - out later this month in the United Kingdom, and this coming weekend in the US.
She also wrote that in her interview and in an appearance on "Good Morning America", "Neeson thought he was telling a story of atonement".
Singer Lily Allen dedicated her song "Fuck You" to actor Liam Neeson at a gig on Tuesday, following the actor admitting to wanting to indiscriminately kill a black man in the aftermath of a loved one being raped.
He had been describing his reaction when the female acquaintance confided in him about being raped and said: "I asked, did she know who it was? No.
I was trying to show honour to my, stand up for my dear friend in this bad, medieval fashion", Neeson said. And I did it for, I'd say, maybe four or five times until I caught myself on, and it really shocked me, this primal urge I had.
"It really shocked me, this primal urge I had". I went to a priest, [he] heard my confession and I was a Catholic.
Banville's novel The Sea won the Man Booker Prize in 2005. "If she said "WHITE" would he have been roaming the streets looking to KILL a random white man??" But I did learn a lesson from it, when I eventually thought, 'What the [email protected] are you doing, ' you know? I remembered an incident almost 40 years ago where a dear friend of mine was brutally raped.