The 36-year-old Abraham has been excused from the club to attend to personal business since the beginning of training camp.
According to the Republic, the Cardinals know of Abraham’s arrest but declined comment on the matter.
On Monday, Cardinals G.M. Steve Keim told the club’s website that he was “not concerned at all” about Abraham’s time away from camp, noting that coach Bruce Arians had excused the linebacker.
DeKalb County public records show that a John Antonio Abraham was cited for DUI and parking, stopping or standing in a prohibited place on June 29. A booking photo of Abraham was included in the online records.
Abraham recorded 11.5 sacks for the Cardinals last season. He joined Arizona last July.
Abraham was also reportedly arrested on a DWI charge as a member of the Jets in 2003. According to published reports, Abraham pleaded guilty to driving while impaired and was benched for one game as punishment by Jets coach Herm Edwards.