McCann was taken to the city of Dallas' detox center at about 3 a.m. on Saturday and released about eight hours later. The details of what led to McCann's arrest have not been released.
McCann denied intoxication in a statement released through his agent on Sunday.
"To my family, friends, coaches, teammates, and all Dallas Cowboy & SMU fans," the statement begins. "My good name and reputation mean everything to me. I have never been arrested before and take pride in conducting myself at all times in a responsible and respectful manner off the football field. I was not intoxicated and did not pose a danger to myself or others.
"I am very grateful that, due to the Constitution and Americans' strong and enduring belief in due process, I am presumed innocent of this public intoxication charge because I am innocent. I look forward to vigorously defending myself in a court of law. I thank you for your continued support."