City finished bottom of its group without a win in six games, signing off with a 1-0 defeat at Borussia Dortmund on Tuesday, the worst record of any English side in the competition.
"I don't feel any pressure," Manicni told reporters. "I'm disappointed, because we went out of the Champions League, and I'm disappointed for the club because they deserve to go through and for our players, who deserve to play on that stage."
Attention now turns to domestic affairs, with the Manchester derby on Sunday at the Etihad Stadium, and Mancini is adamant their campaign is far from over.
"It's clear the season isn't finished. We have the Premier League and FA Cup to go for," Mancini said. "But we must work more now. What we're doing is not enough. Our target when we started the season was to defend our title. That was the main target.
"We knew it was difficult to win the Champions League. But our target in Europe was to get into the second stage."
City’s debut in the Champions League in 2011-12 also saw the club fail to qualify from their group, but Mancini reiterated the fact that European success isn’t their priority.
“Our targets have not changed. Our main target was the Premier League and FA Cup - to win a trophy," Mancini said. "We wanted to get to the Champions League second stage - then in February, when you're there, you can change your target. But we didn't and now we can't."
Follow GOAL.COM on Twitter
- Sports & Recreation