He did not specify which years he used the racial slur.
Rogan also addressed a clip from his podcast 11 years ago in which he talked about going to a movie theatre in a Black neighbourhood to see Planet of the Apes.
"I was trying to make the story entertaining, and I said we got out and it was like we were in Africa. It's like we were in Planet of the Apes," Rogan said. He said he wasn't trying to be racist but realised it was "an idiotic thing" to say. He said he deleted the podcast but that someone must have saved the clip.
In her video, Arie said even if some of Rogan's conversations were taken out of context, "he shouldn't be uttering the word".
Rogan's apology comes as Spotify is promising to combat the spread of Covid-19 misinformation as part of a damage-control campaign sparked by Young.
Last week, Spotify said it will soon add a warning before all podcasts that discuss Covid-19, directing listeners to factual, up-to-date information from scientists and public health experts. The company also aims to bolster transparency about its publishing decisions by laying out the rules it uses to protect users' safety.
Spotify garnered 31 per cent of the 524 million worldwide music stream subscriptions in the second quarter of 2021, more than double that of second-place Apple Music, according to Midia Research. Spotify isn't always popular with musicians, many of whom complain that it doesn't pay them enough for their work.
Arie said on her video that Spotify is built on the back of the music streaming business and that it uses that money to reward Rogan in a lucrative deal. She said she doesn't want to generate money that pays for the podcaster.
"Just take me off," she said.
Spotify didn't respond immediately to a request for comment.
-AP