After failing to complete a move to Barcelona in the transfer window, the Brazilian was back in action from the bench during Liverpool's 2-2 Champions League draw with Sevilla at Anfield on Wednesday.
He confirmed the Belgium global is his first-choice for Premier League matches, while Trent Alexander-Arnold could return at right-back.
"The coach was no problem, but I do not think I had any decision on the referee", explained the German manager, dismissing suggestions that he had any influence over the decision to send Berizzo to the stands.
"It was clear before the season there would be moments when [Mane] can not or should not play".
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The Reds would be without Sadio Mane, who picked up a red card in the defeat at City.
"In the second half when we were losing, and chasing the game, I still decided the throw the ball away to try to make up for what I was doing in the first half".
Firmino levelled for the Reds from close-range midway through the first half before a heavily deflected strike from Mohamed Salah handed the hosts a deserved lead at the interval.
Liverpool boss Jurgen Klopp insists the defensive frailties which cost his side victory against Sevilla can not be solved merely in the transfer market.
Liverpool are now eighth in the table with seven points from their first four matches and it will not take much to get them back among the top sides at this early stage of the campaign. "We wanted to do it and in the end we got a point so it's not too cool but it's still a point", Klopp added. "They invited me into the dressing room, and we talked about it".