For reasons unknown, the officers did not have their dashcam or body cams turned on during the shooting. "In the meantime, we ask that you give us time to grieve in private and to support each other at this very hard time", the statement said.
Arradondo spoke Tuesday night shortly after state investigators released their first narrative of what happened.
The police chief's comments seem to distance her department from Noor.
Earlier Thursday, Minneapolis Police Chief Janee Harteau said Damon "didn't have to die".
As they drove near the Damond home, Harrity was startled by a loud sound near the vehicle. Harrity said Noor shot Damond through the open window.
The Bureau of Criminal Apprehension (BCA) is conducting the investigation.
Noor has been on the force for 21 months.
Officer Matthew Harrity didn't escape criticism either, although not by name.
'These were the actions and judgment of one individual, ' she said.
One of the officers said they were startled by a loud sound right before Damond approached the vehicle.
She addressed a KSTP-TV report from the week before the shooting on officer usage of body cameras, saying she doesn't believe officers are recording enough.
Caller: Yes, along behind the house. "That'll be part of the criminal investigation", she replied, referring to the independent probe by Minnesota's Bureau of Criminal Apprehension.
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Harrity's partner Mohamed Noor fired from the front passenger seat, striking Damond in the abdomen, according to the authorities.
Mayor Betsy Hodges was in the crowd but declined to be interviewed.
Organizers say the walk was about healing and comforting those who are mourning the loss of the 40-year-old woman.
The killing not only reignited anger in the local community in the following days, but also attracted condemnation from overseas, notably from Australian Prime Minister Malcolm Turnbull, who described the killing as "inexplicable".
In an interview on Australia's Today Show on Wednesday, Turnbull called the death of Justine Damond "a shocking killing".
A "march for healing" is planned for the Australian woman who was shot dead by a Minneapolis officer responding to her 911 call.
He did not give any details about the shooting, however.
Farhio Khalif, a Somali and women's advocate, called Damond's shooting "unacceptable" and said the incident has taken a toll on local Somalis. He says something "clearly went tragically wrong".
Noor, who has been with the department nearly two years, can not be forced to talk to the state Bureau of Criminal Apprehension. "Both officers have been placed on standard administrative leave".
"Help us, help us hold our unjust system accountable without fanning the flames of anti-Somali fear or Islamophobia", she continued, referring to the heritage of the officer who killed Damond. Right after the sound, Ruszczyk approached the driver's side, the report said.
"Justine didn't have to die ..."
Damond's death has sparked global outrage. Harteau said she did not know Noor well, and had spoken to him only in passing, but that he "absolutely" performed well during training.
Members of Castile's were also present at the march and the organizers notes on the march's Facebook page that the event was meant to "seek healing, Justice for Justine, and justice for ALL others that died at the hands of the police".