The 6-foot-2, 277-pound Clark, who is from Cleveland, was still being held without bond Sunday in the Erie County jail, according to online records.
Michigan did not play this week and hosts Maryland on Saturday in the Wolverines' home finale.
"We are aware of the report involving Frank Clark," Michigan coach Brady Hoke said in a statement. "I have not spoken with Frank but will at the appropriate time. We will respect the legal process and make any decisions once we have the facts."
According to a police report obtained by The Sandusky Register, Clark's girlfriend told police he punched her in the face and knocked her to the ground in a hotel room. The girlfriend's brother, who was also at the hotel, said Clark grabbed her by the neck and slammed her to the ground. Several family members, including young children, were in the room at the time, according to the report.
When police arrived, Clark was outside of the room and told police he did nothing to the woman. He said the woman was having "crazy fits" and might be pregnant. The woman refused to go to the hospital for medical treatment and told police she did not want to pursue charges against Clark.
In September 2012, Clark was arrested and pleaded guilty to a felony count of second-degree home invasion after entering a university dormitory and stealing a MacBook Air laptop from a Stockwell Hall dorm room. He was sentenced to one-year probation and fined $1,741.
Michigan coach Brady Hoke suspended Clark for one game, the Wolverines' 2012 season opener against Air Force.
Clark, 21, has started 26 games in his UM career, including nine of 10 this season. Clark leads Michigan in tackles for loss (13.5), is second in sacks (4.5) and tied for third in tackles (42).
ESPN.com's Dan Murphy and Adam Rittenberg contributed to this report.