City have advanced to the quarter-finals of the Champions League thanks to the 2-1 win.
"I wanted to show my face. I got it wrong, this is on me, and we are out," he told El Chiringuito.
He added: "I am sorry for my teammates. I am sad that we are out. This has not happened many times in my career.
"Now we must show character, because it has been a hard night."