McCann was taken to Dallas city detox center around 3 a.m. and released almost eight hours later.
Details of what led to his arrest have not been released, but officers must consider someone a danger to themselves or others to arrest them for public intoxication.
According to NBC's ProFootballTalk blog, the NFL will continue to deal with player conduct during the lockout.
"While players won't be able to get the benefit of our evaluation and counseling program during the work stoppage, the personal conduct of players and employees is an integrity-of-the-game issue," NFL spokesman Brian McCarthy told Marvez. "Any misconduct that is detrimental to the integrity of and public confidence in the NFL will certainly be addressed when play resumes."
McCann said via his twitter feed this morning that he will send out a press release today regarding the "current allegations."
He played a key role in the midseason turnaround under Jason Garrett because of two big plays. His interception of a Peyton Manning pass intended for Hakeem Nicks and subsequent 101-yard return keyed a big win in New York. A week later, he returned a punt 97 yards against the Lions and was named the NFL's rookie of the week.