According to police, Patric, 37, was with a group of people standing in a downtown street about 3 a.m. when they were asked by officers to move.
Patric moved slowly toward the sidewalk, but then took an aggressive stance, police said. When they tried to arrest him, Patric resisted and shoved an officer, according to police.
According to the arrest warrant, Patric insisted he was not drunk and that officers should test him. Police spokesman Kevin Buchman said there is no test administered for public intoxication and officers only need to have suspicion.
Patric was booked into the Travis County Jail and released five hours later, jail officials said.
A statement released by Patric's publicist, Michelle Bega, said Patric "believes he has done nothing wrong. He hopes for a rapid resolution to clear his name."
Patric's latest film, "The Alamo," is set for release April 9. He stars as Texas hero James Bowie, alongside Billy Bob Thornton as Davy Crockett and Dennis Quaid as Sam Houston.
Patric's other films include "The Lost Boys," "Sleepers" and "Speed 2: Cruise Control."
He also recently starred on Broadway as tarnished golden boy Brick in a revival of Tennessee Williams' "Cat on a Hot Tin Roof."