"So I guess it's a crime now to be a big black man", Mr Crump said.
But the shooting has drawn significant scrutiny to the police department as yet another unarmed black person was killed in what would otherwise be a routine traffic stop.
"We're all sick. We feel for the (Crutcher) family", Lois Shelby said.
"It's very hard to watch", Police Chief Chuck Jordan said at a news conference Monday.
Dozens of protesters gathered outside the county courthouse Monday evening holding signs that read, "Justice 4 Crutch" and "Don't Shoot".
"He has his hands up and is facing the vehicle and looks at Shelby, and his left hand goes through the auto window, and that's when she fired her shot", Wood told the Tulsa World.
San Francisco's Colin Kaepernick says the fatal shooting of an unarmed black man in Tulsa is "the ideal example" of what he's protesting when he refuses to stand for the national anthem at 49ers' games.
The attorney for the Crutcher family said even if you assume Crutcher was under the influence that night, there is a certain way to deal with people who might not be in full control of their mental abilities and emotions.
"This is unbearable and it needs to be intolerable", she said. On April 2, 2015, an undercover Tulsa sheriff's operation went wrong - and a white reserve deputy sheriff shot and killed an unarmed black man, Eric Harris.
The Tulsa Police Department confirmed, on Tuesday, PCP was found inside Crutcher's vehicle.
Police video shows Crutcher walking toward his SUV that is stopped in the middle of the road.
Tulsa police say officers searched Crutcher's SUV after the shooting and found a vial of liquid PCP, a wallet and some Tulsa Community College textbooks.
"It was reported that Terence died at the hospital; that is not true", said Demario Solomon Simmons, one of the attorneys for Crutcher's family.
After Shelby called for backup, cameras on a second vehicle and on a police helicopter recorded the scene, with key moments partially obscured.
Crump said reports linking Crutcher to drugs were an attempt to "intellectually justify" Crutcher's death.
Scott Wood, a lawyer for Shelby, told the Tulsa World that Crutcher ignored repeated commands from the officer.
But at a press conference Tuesday, attorneys representing Crutcher's family provided an enlarged photo of the police footage that appeared to show that Crutcher's window was up at the time of the shooting.
"Let us not be throwing a red herring, and to say because something was found in the vehicle that was justification to shoot him", said attorney Benjamin Crump, one of the family's lawyers.
Police told the Associated Press that Shelby had a stun gun when she shot Crutcher, but did not use it.
The helicopter footage was ironically captured by Shelby's husband, who is also a police officer.
Betty Shelby declined comment, referring calls to her attorney.
A rally is planned for Tuesday night in Tulsa calling for the arrest of a white police officer who fatally shot an unarmed black man.
On Monday, Tulsa County District Attorney Steve Kunzweiler said his office will review police reports and evidence from Crutcher's shooting to determine whether charges should be filed against Tulsa officer Betty Shelby. Tulsa police say Crutcher didn't have a gun. Shelby didn't activate her patrol car's dashcam.
"He has his hands up and is facing the auto and looks at Shelby, and his left hand goes through the vehicle window, and that's when she fired her shot", Wood told the Tulsa World for a story published Tuesday.
"Maybe I can by speaking directly to white people [and] say, 'Look this is not who we are.' We've got to do everything possible to improve policing, to go right at implicit bias".
State and federal investigations into the shooting death are underway. Both officers were placed on administrative leave with pay.
This time, the unarmed African-American man shot by dead by police was a 40-year-old father of four whose hands were raised. Someone on the police radio says, "I think he may have just been tasered".
Then nearly immediately, someone can be heard yelling, "Shots fired!"
If Crutcher was wandering unresponsively on a risky street, cops may have been wise to subdue him with a Taser.
Based on the video alone, it appears unclear who fired the fatal shot or why it was sacked.