Chappelle later told the crowd: "I grabbed the back of that n***** head, his hair was spongy, absorbent."
While Foxx added: "Listen, I just want to say I've had an incredible time. This guy is a genius, we've got to protect him at all times, man. This is what it's about.
"For every comedian that comes out here, this means everything. You're a genius, you're a legend, I enjoyed myself thoroughly and we're not gonna let nothing happen to you."
In another short clip seemingly taken after the incident, Chappelle appears to joke that the alleged attacker was a "trans man".
The comedian previously faced a lot of backlash with fans accusing him of making transphobic comments in his 2021 Netflix special The Closer.
He later posted on Instagram and explained while he was willing to discuss the show with members of the transgender community, he wouldn't be "bending to anybody's demands".
He said at the time: "To the transgender community, I am more than willing to give you an audience.
"But you will not summon me. I am not bending to anybody's demands."
He added: "If they had invited me I would have accepted it, although I am confused about what we are speaking about.
"I said what I said and boy I heard what you said. My god, how could I not?"
Chappelle's attacker was put on a stretcher and taken to hospital. Footage shows him being treated for what appeared to be an injured arm.
Witnesses spoke about the incident on social media.
"I'm at this Dave Chappelle concert and tell me why some guy ran up and tackled him," one audience member said on Twitter.
Another said: "Just saw someone tackle Dave Chappelle on stage at the Hollywood Bowl then guy got jumped."
NFL star Marcellus Willey tweeted: "Leaving Dave Chappelle show and some foo ran on stage and just tackled him hard as funk on some Will Smith BS!"