In the aftermath, Van Dijk declared Liverpool's players had downed tools and also admitted the team's new arrivals were struggling to gel.
Ahead of tonight's Champions League quarterfinal first-leg clash with PSG, Wirtz said: "I didn't know about that he said this. But I think I wouldn't agree directly because we still tried to create chances to turn the game around.
"Of course when the games gets longer and it's like in the 80th minute and you're 3-0 back mentally it's difficult to go and go. We just tried to give our best in the game when it was 3-0 or 4-0 we had still a few chances then.
"Of course it's not our standards that we lose 4-0 against City. We wanted to go through that round. Next year we should do better and be better on the pitch."
On the speculation around manager Arne Slot's position, Wirtz added: "Yes, of course. We are believing in the manager, the team should believe in the manager as they won the league last season, we have had a lot of good games this season.
"We wanted it to be better but it is what it is now. We still have things to play for and everything I can say to that is that we believe in the manager and try to get our best on the pitch tomorrow."