Court documents obtained Monday show the woman told Denver police that 24-year-old John Albert Elway also pushed her to the ground when she tried to get back in the car, causing scrapes.
The documents say the incident happened early Saturday near a college campus in downtown Denver. Elway initially fled the scene.
Elway was released from jail on $550 bond and was scheduled to appear in court Thursday. He faces charges of assault and disturbing the peace.
Court records do not list an attorney. A Broncos spokesman says the case is a personal family matter.