Footage of the 16-year-old boy's scuffle with police was shared via social media last month after he was arrested at Ward Park in Surry Hills.
Referring to his son as 'Kuta' - a pseudonym which means brother in the language of the Pitjantjara people of Central Australia - his father says the family is determined to fight injustices experienced by Kuta and all Indigenous people in custody.
"There's no words in the dictionary that describe how I felt that day seeing my son treated unjustly by the cop," the father, who can't be named, told reporters on Sunday.
"My son was the only black person among his white friends. He was targeted by these police and I just want to say that today is our time to get our voice up."
Police had not been in contact with the family since the incident occurred and he had little faith in "police investigating police", he said.
National Justice Project director George Newhouse - who is one of the lawyers representing Kuta - told AAP on Sunday the family are "patiently waiting for police to investigate this matter".
"Hopefully there'll be some decision soon about whether this officer's going to be charged or not," Mr Newhouse said.
The family had asked Mr Newhouse to launch a private prosecution if the constable was not charged, while the Redfern Legal Centre has referred the matter to the independent police watchdog.
Read the full story syndicated in Seven News here (AAP, 5 July 2020)