The request from Victoria's chief police commissioner came at the start of a two-week inquest into the death of Noongar man Jeffrey Winmar.
The 28-year-old died in hospital on November 11, 2023, two days after being pursued and arrested by police.
Body-worn camera footage played to the Victorian Coroners Court on Monday showed Jeffrey drop to the ground after being confronted by a police dog on November 9.
He had fled from officers who went to arrest him at a Burwood address in Melbourne's east, scaling the property's roof and jumping over multiple fences.
Jeffrey was cornered by the police dog and his handler when he lost consciousness.
He was handcuffed before detectives realised he was unresponsive and placed him into the recovery position.
There was no further footage of the incident because the dog handler moved away and detectives were not required to have body-worn cameras installed.
The court was told police cancelled two initial calls for an ambulance but paramedics ultimately attended the scene after Jeffrey went into cardiac arrest.
The 28-year-old died in Box Hill Hospital two days later as a result of multi-organ failure in the setting of methamphetamine use.
The cause of the organ failure and whether earlier medical intervention could have prevented Jeffrey's death are part of the inquest's scope, counsel assisting Rachel Ellyard told the court.
The actions of police in the planned arrest will also be considered by the coroner.
A Victoria Police review into the incident found the officers had acted appropriately and all policies were complied with, the court was told.
But police barrister Marion Isobel made applications for certificates on behalf of the 11 officers called to give evidence in the inquest on the grounds of potential self-incrimination.
The certificate would protect each of the police members from facing disciplinary action as a result of their evidence.
Barristers representing each of Jeffrey's parents opposed the applications, saying they were inappropriate.
Coroner Sarah Gebert only had to decide one of the applications on Monday but accepted there were reasonable grounds.
Leading Senior Constable Jason Nowakowski, the police dog handler, was granted a certificate and told the court he did not know Jeffrey was Aboriginal or was scared of dogs.
But the officer maintained he would not have done anything differently if he was aware and he did not believe there were any significant failures from police during the arrest.
Jeffrey's father said he still had questions about the actions of the officers.
"What happened to Jeff is not right," said a statement from Jeffrey Anderson, read by his daughter Rosie outside court.
"Jeff didn't die on his own. There needs to be accountability."
Jeffrey's mother Ursulla said she was looking for justice for her son and she hoped people would be held accountable.
The inquest is scheduled to run for two weeks.
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