Murray was sentenced to four years behind bars for the involuntary manslaughter death of Michael Jackson in June 2009.
He had hoped to be released on his own recognizance and offered to wear an electronic ankle bracelet, but prosecutors told Superior Court Judge Michael Pastor that Murray - who was born in Grenada - is a flight risk.
Pastor agreed with prosecutors, saying Murray would be a danger to society if he tries to practice medicine again.
During the hearing, Pastor cited a statement by Murray during a documentary interview that he thought it was permissible to give the anesthetic propofol in a home setting. Jackson died of a propofol overdose while in Murray's care.
Murray, who was not present at the hearing, will remain in county jail while his appeal moves forward.
The Associated Press contributed to this report.