The Italian giants only needed a draw at home to Bayern Munich to advance to the knockout phase but suffered an embarrassing 4-1 defeat to bow out of the elite competition.
Pressure is now mounting on rookie coach Ferrara, who took over from Claudio Ranieri in the latter stages of last season, to resign but he is determined to stay put.
"Never," Ferrara was quoted by Italian media as saying when asked during a press conference if he was ready to resign from his post.
"The intelligent people and the strong people have to react so we have kept everyone with this kind of behaviour in mind.
"As for the rest, it's all there. We cannot pretend that the newspapers will praise us. But even in the beginning, even when we won, the Press often spoken about the chances left to our opponents.
"Criticise us when it's right, but don't do it just for the sake of it. I don't like this game where someone comes on a bit strong. I have already opened my black book…"
Former Inter Milan coach Roberto Mancini, who has been without a club since leaving the Nerazzurri in May 2008, said he would be ready to manage Juve if they wanted him.