Hans-Joachim Watzke was proud of the Schwarzgelben but said the referee "made a lot of wrong decisions."
The Schwarzgelben took a two-goal lead through Marco Reus' brace as they looked to claw their way back into the tie following Madrid's 3-0 first-leg win. However, the German side couldn't find the crucial third goal which would send the tie into extra time and crashed out of the competition.
Despite their elimination, Watzke was full of praise for the Bundesliga giants but criticized the referee for a substandard performance.
"My team did great," Watzke said after the game. "It was a fantastic experience. Nevertheless we all are a bit disappointed. We had fantastic chances in the second half, mainly Henrikh [Mkhitaryan]. I trusted in the team.
"The only one who wasn't on the level was the referee. For example, I saw a clear assault by [Sergio] Ramos against [Robert] Lewandowski. He made a lot of wrong decisions. I don't want to say he disadvantaged us but the performance was simply bad.
"I'm sure Madrid would have been dead, if we would have scored the third goal."