The death of Kate Steinle prompted a national debate over immigration because Garcia Zarate had been deported five times before the shooting.
Kate Steinle was shot and killed while Garcia Zarate was under the terms of that supervised release, and the Department of Justice now seeks to re-arrest Garcia Zarate for possession of the handgun - which had been stolen from a Bureau of Land Management ranger one week before the shooting - and charge him with that violation of his supervised release conditions.
"San Francisco is and always will be a sanctuary city", said Ellen Canale, a spokeswoman for Mayor Ed Lee. The bill has not passed the U.S. Senate.
Zarate, who was in the USA illegally at the time of the shooting, had previously been deported five times.
Gonzalez won a seat on the Board of Supervisors, San Francisco's equivalent to a city council, in 2000 after switching his party affiliation from Democratic to Green in the middle of the race.
"No wonder the people of our Country are so angry with Illegal Immigration", Trump tweeted last week.
City Public Defender Jeff Adachi represented Garcia Zarate at his first court appearance in July 2015 but quickly handed the case to Gonzalez.
Former President Barack Obama had kept his Republican predecessor's policy of allowing US immigration officials to ask local police to detain people suspected of living in the country illegally for up to 48 hours.
U.S. Immigration and Customs Enforcement will deport Garcia Zarate at the conclusion of the criminal case, ICE deputy director Tom Homan said in a statement that also criticized his 2015 release from jail. He is awaiting sentencing on that charge. A judge unsealed that warrant Friday. San Francisco's decision to protect criminal aliens led to the preventable and heartbreaking death of Kate Steinle. Defense attorneys said Garcia Zarate found the gun and it accidentally discharged, the bullet ricocheting off the ground at the pier frequented by tourists before striking the woman.
Cardoza said a better case could have been made to convince jurors that Garcia Zarate had a "reckless disregard for human life" and to convict him of second-degree murder.