The warrant on January 8 was part of the department's probe into how the woman got pregnant, according to a press release from Hacienda.
Phoenix police say the matter is under investigation and declined further comment today.
The Hacienda statement said the company welcomed the move by the police and had looked into conducting its own DNA tests, but attorneys said it would be illegal.
Orman said in the statement that Hacienda "will continue to cooperate with Phoenix Police and the investigating agencies at all levels in every way possible".
Hacienda didn't immediately respond to INSIDER's request for comment on Tuesday.
When asked about the warrant, a police spokesman said only that the investigation was ongoing.
Micheaels also gave an update on the newborn writing, "The family would like me to convey that the baby boy has been born into a loving family and will be well cared for".
Azfamily.com on Thursday reported that the woman was left in a vegetative state after a near-drowning more than 10 years ago.
She was reportedly raped multiple times.
"When you have a loved one committed to palliative care, when they are most vulnerable and dependent upon others, you trust their caretakers", he said.
"I can't believe someone would bathe her daily for nine months, never know she wasn't having her period, she wasn't growing in her mid-section", one of the woman's former caregivers told ABC15, which did not reveal his or her identity. "It is my hope that justice will be served".
"They added: "[She had no way to defend herself].
Bill Timmons, Hacienda HealthCare's CEO and president, resigned yesterday after a report that the woman was sexually attacked at one of his facilities in Arizona.
Last week, Arizona's Family broke the news that the unidentified woman, who had been in an unresponsive state after a near-drowning, gave birth on December 29, her pregnancy unaware to Hacienda staff.
A Hacienda Healthcare spokesperson told AZ Family that it has been in business for over 50 years and has "an outstanding reputation".
Healthcare staff were unaware she was pregnant until she was already giving birth - noticing when she started "moaning".
"I know Chief Jeri Williams and the Phoenix PD Officers will do all they can to find the perpetrator".
Now, male staff who need to enter female rooms must be accompanied by a female employee.
The woman who requires 24-hour care is non-verbal and can not move on her own, reports KPNX.
"We are aware of this situation and are actively working with local law enforcement in their criminal investigation", the department said in a statement.
The Hacienda facility serves infants, children and young adults who are "medically fragile" or have developmental disabilities, according to the website.
Since the news of the incident broke, parents of patients at the Phoenix-based health care facility have come forward, expressing their concerns.
The woman, who has not been identified, is thought to have given birth on 29 December.