Facing a struggling team that kicked off in the relegation zone, Liverpool broke through immediately as Joel Matip turned Hwang Hee-chan’s cross into his own net after five minutes.
Wolves starter Craig Dawson doubled the lead after 12 minutes when the defender blasted over from 10 yards.
With Wolves fans taunting Klopp with chants of “You’re getting sacked in the morning”, Ruben Neves sealed the rout with a 71st-minute finish from Adama Traore’s cross.
“Obviously it was a terrible start. Two goals that can’t happen. We were 2-0 down because of our mistake,” Klopp said.
“We were inactive during that period. I can not explain it. There is no excuse for this.
“I’m so disappointed and angry about the first 15 minutes. We better turn this around. It’s true, 100 per cent. I really have no words for it, I’m sorry.