Abraham said he's addressing his issues.
"First, I want to apologize to my family and friends, the Cardinals organization, my teammates and the fans for letting them down," he said in the statement. "I understand the significance of my actions and right now I am taking the necessary steps to handle my personal business. I am very thankful for the support from my family, friends and especially the Cardinals organization during this time in my life. I am looking forward to being back with my teammates in the near future."
Abraham has not reported to the Cardinals' training camp. Friday marked his sixth missed practice. Arizona coach Bruce Arians said the Pro Bowl linebacker, who is the NFL's active sack leader with 133.5, will report in five to six days.
An officer found Abraham passed out behind the wheel of his black Dodge Challenger around 4 p.m. ET on June 29 at an intersection of an Atlanta suburb after he had left the Pink Pony strip club, according to a police report.
Abraham said he had two drinks and told officers at the scene that he had been waiting on someone to pick him up, but the person never arrived. He also said he didn't feel safe to drive and didn't want to drive, according to the report.
He failed a series of field sobriety tests, including the walking and balancing tests. After initially agreeing to a breath test, Abraham changed his mind and refused to take it, the report stated. The officer took Abraham's South Carolina license, which was suspended.