Los Angeles Lakers head coach JJ Redick is flat-out denying he called a woman the N-word while a member of the Duke men’s basketball team … saying the interaction simply never happened.

Halleemah Nash — an author, speaker, and Duke alum — dropped the bombshell allegation on social media on Tuesday … claiming, “I’ve only been called the N word to my face by a white man once in my life and it was on the campus of Duke University while I was doing work with the basketball team.”

“And today he was named the new head coach of the Los Angeles Lakers. What a world.”

Redick — a former college basketball superstar at Duke and 15-year NBA veteran — was introduced as the 29th head coach of the Los Angeles Lakers on Monday.

The allegation was posted on Nash’s account at 9:10 AM on Tuesday … and, as of the time of this post, was viewed 10 million times.

We reached out to Redick’s camp for a response to the claim … and they completely shut it down.

“No, it never happened,” a spokesperson tells TMZ Sports.

Prior to joining the Lakers, Redick most recently worked the NBA Finals for ESPN … and had several podcasts, including “Mind the Game” with LeBron James — who could choose to stay in L.A. and play under the former sharpshooter this offseason.