Around 25 people were arrested by police because of the clashes before and after Eintracht's 2-1 win on Tuesday near the Austrian city of Salzburg.
Speaking to Die Welt, Bruchhagen said: "I never see the pleasure in violence. I am stunned. I don't know what it has to do with football.
"I regret that this has happened. It's not in the tradition of Eintracht. It was obvious that on both sides there were people who wanted confrontation."
A statement released by Salzburg police yesterday pointed the finger of blame squaring at groups of Eintracht ‘ultras’ who were involved in confrontations with police prior to kick-off and after the match.
Three Leeds supporters and two police officers were injured in the clashes.
Leeds have not commented on the violence but officials from the club held spoke with police to discuss the crowd trouble yesterday.