Everton head coach Ancelotti has spoken with Klopp amid the coronavirus pandemic and said the German had concerns over his side’s continental fixture going ahead in front of a full stadium on March 11.
Liverpool went out of the Champions League after the second leg of their last-16 tie ended in a 4-2 aggregate defeat, their last match before top-level football was widely halted due to the outbreak.
Ancelotti told Corriere dello Sport: "I heard from Klopp the other day, he told me that going ahead with the game in those conditions was a criminal act. I think he was right."
Former Real Madrid, Bayern Munich, Chelsea and Milan boss Ancelotti predicts there will be an economic "downsizing" after the virus has passed, with football feeling the effects of that.
"We are all living a life that we were not used to and that will change us profoundly," he said. "I'm sure we will all have to downsize, starting with football.
"Today, the priority is health, limiting the contagion. When you start again, when you finish, the dates - believe me, I don't care. At the moment, that's the last thing on my mind.
"I hear talk about cutting salaries, suspension of payments. They seem like inopportune solutions.
"Soon the economy will change, and that's at all levels: The TV rights will be less, players and coaches will earn less, tickets will cost less because people will have less money.
"I repeat, what matters now is to fight the virus effectively. Then, of course, if it will be possible to continue the season... otherwise, amen."