According to TMZ Sports, the officer wrote the following in the police report: "I further noticed the grinding movement of his jaw and continued blank stare. These are common signs of an individual high on stimulants, such as cocaine."
Kirk was arrested in Scottsdale, Arizona, after allegedly throwing rocks at cars in the parking lot at the Waste Management Phoenix Open golf tournament.
The police report added that officers "immediately noticed Kirk's demeanor" due to the "blank stare" he had on his face.
Kirk and another man were arrested and charged with criminal damage to a car before being released.
After three productive seasons with the Aggies, Kirk was selected with the No. 47 overall pick in the second round of the 2018 NFL draft by Arizona.
Kirk—who is a Scottsdale native—is expected to vie for the No. 2 receiver spot with the Cardinals behind future Hall of Famer Larry Fitzgerald.