He only played 25 minutes, but Salah still managed to score two wonderful goals and ensured his side took all three points back to Anfield.
"Thank-you is all I said to Mohamed Salah".
Mignolet, who captained Liverpool for the match, brought down the forward late in the first half, but despite the Potters' protestations that he denied them a clear goalscoring opportunity, Atkinson only booked the goalkeeper.
"We have a lot of work to do, with Peter Crouch on the pitch it make it hard and they are good on the ground but we have to keep fighting for the second ball. It was very deserved and we are very happy".
Klopp also had praise for the side, as they kept the pressure on the top four.
The opening 17 minutes provided no warning of the controversy which was to come.
Sadio Mane put the visitors ahead on 17 minutes with a handsome chip over Potters goalkeeper Lee Grant following some excellent work from Dominic Solanke, although there was a question whether or not Joe Gomez had kept the ball in play moments earlier.
Stoke City boss Mark Hughes still angry with Martin Atkinson Liverpool decision
That sense of injustice, even though replays suggested the whole of the ball had not gone out, raised the temperature.
They wrote: 'Mignolet comes out of his area, fouling Diouf.
"I don't think it was a red card but of course they could have scored in this situation and then the free-kick in this situation with (Xherdan) Shaqiri is a real threat".
Despite what happened, Mane has insisted that there is no rift going on between himself and Klopp.
The Egypt global made sure of victory by capitalising on a fumble by Erik Pieters to slot home seven minutes from time. Subs not used: Wimmer, Berahino, Afellay, Haugaard, Sobhi.
Sadio Mane and Roberto Firmino could earn recalls.
Liverpool subs: Karius, Alexander-Arnold, Milner, Henderson, Coutinho, Salah, Sturridge.More news: Cyber Monday was the biggest online shopping day ever
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