A sheriff's deputy shot a man who reportedly fired his weapon into the air Sunday evening at a horse-racing track, the San Diego Union-Tribune reported.
People at the venue saw a string of sheriff's and police cars responding to the fairgrounds around 6:40 p.m.
The concert was scheduled to follow a full slate of horse races at the track, the station reported.
The department says the man was taken to Scripps Memorial Hospital La Jolla.
Commentators could be heard screaming "there's gunfire at the track" as the race took the place.
A video of the shooting that was posted on Twitter records the sounds of several shots being fired before a man falls to the ground.
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Sheriff's deputies returned fire, according to the sheriff's office, and Elizarraras was struck.
No other details were immediately available, and police are yet to release any information on the incident.
A man was shot outside an Ice Cube concert, and seconds after he went down you hear a fan ask, "Can I get a refund?" Broadcasters calling the race live reportedly began shouting, "There's gunfire at the track, there's gunfire at the track", before cutting out the audio, The Blast reports.
A spokesman at Del Mar Racetrack has since said the situation was "contained".
"We take consolation in the fact that no patrons, officers or security personnel were injured in the incident", the statement said.