The Defending Champions have struggled for form and battled with injuries to star players.
“Our target from the beginning was the Champions League, the Premier League and also Cup games. And now, I can say it’s over for the Premier League … it’s too much,” Mane told ESPN.
“In our head, it’s always ‘never give up’ and we won’t give up, but for sure, City are a good team and they’re flying.”
Mane has revealed that the club has shifted their focus to the Uefa Champions League.
“You’re going to face the best teams in Europe, but we’re here to beat the best in the world.”
Liverpool have lost their last four Premier League games and they are currently out of the top four.
Liverpool hold a 2-0 first-leg advantage over Leipzig in the Uefa Champions League second round tie.