Barton was found not guilty of attacking the manager.
Barton was the boss of Fleetwood Town at the time of the incident.
The former footballer was cleared of pushing over Stendel in the tunnel at the end of the match, leaving him with a broken tooth.
Barton denied last week that he shoved Stendel after a League One match between his team and the South Yorkshire side.
The jury heard how Mr. Stendel was knocked over by a push from behind and hit his face on a metal structure after his side's 4-2 victory over the Oakwell Stadium.
Barton was acquitted of assault at the end of a League One match.
Video footage repeatedly shown during the trial showed Barton jogging a moment after Mr. Stendel entered the tunnel.
Barton was found not guilty of one count of assault occasioning actual bodily harm after a week-long trial.
Barton said the verdict speaks for itself after leaving the court. He said that he felt better than before. He left the building with his lawyer.
The jury heard that Clint Hill, the assistant manager of the team, was given a yellow card after a second half which saw tensions between the coaching staff.
The trial was held at theSheffield Crown Court.
The jury was shown mobile phone footage of the handshake between the two managers at the end of the match.
Barton admitted using "industrial language" during the handshake, but denied he was aggressive, and said there had not been tensions between the two managers during the match.
He explained that he tried to explain to Mr. Stendel that if they didn't control their coaching staff, they could be fined a lot of money.
Barton pointed out that after the handshake, he had a friendly chat with a player about his time playing for the French team and also the referee, before he headed for the tunnel.
He said he started to jog because he wanted to get into the dressing room before his players. He said the video footage showed him going towards the stand.
Barton stood in the dock for the verdict and wore a dark suit and tie.
He was told by Judge Jeremy Richardson that he could leave the court.
