Officers immediately took cover as the man with the rifle and scope fired multiple shots in the neighborhood, she said in a statement.
An armed man who opened fire on police from a second story window was shot by police after a standoff Friday morning.
Enjaian graduated from the University of California-Los Angeles in 2008 and the University of Michigan Law School in 2013, CBS News reported.
At one point, he was spraying obscene graffiti on homes and cars including a penis on a vehicle parked on the street.
Police sources said officers had responded to Enjaian's house earlier this week regarding threats or a report of a gun, KPIX 5 reported.
Gambia: Adama Barrow sworn
Mr Barrow said his government would start work immediately to encourage investment in other sectors such as technology. British Foreign Secretary Boris Johnson visited Barrow on Tuesday, saying: "We are here to help".
California Highway Patrol told CBS that the gunman was "disarmed and detained".
Later in the day, Oakland police said Enjaian was in serious condition.
When officers arrived, the suspect was in the street and began shooting at the officers.
Oakland Police have ended an active shooter situation.