Jones was released from custody after posting bond. He did not comment to reporters as he left the jail.
His agent, Michael Huyghue, said in a statement that Jones had been advised not to comment and the cornerback regretted any negative publicity for the Titans.
"Regrettably, there are certain individuals out there who are opportunists, who prey on professional athletes for financial gain, and unfortunately, this is one of those incidents," Huyghue said.
In a court appearance, nightclub owner Robert Gaddy said Jones grabbed his shirt, hit him and broke his necklace after Gaddy asked three of Jones' friends to leave the club. Gaddy told police he asked Jones' friends to leave because "they were smoking drugs."
In a lengthy statement, the Titans said Jones has not matured enough in his decision-making and behavior despite team and league efforts.
"We remain confident that Pacman Jones will become an important contributor to our team, but in order for that to happen, he is going to have to conduct himself responsibly in all aspects of his life on a consistent basis," the statement said.
In April, Georgia authorities investigated a report that Jones was involved in a fight in a nightclub near Atlanta in April, but no charges were filed against him in that case.
The 5-foot-10 Jones, who played for West Virginia, was taken sixth overall in the NFL draft in April. He was the first defensive player picked.
He hurt himself in the Titans' rookie orientation on April 29 and couldn't practice with the team until June 14.