“We used to say at Liverpool that if he ever went to Madrid — he was frequently linked with them during his time at Anfield — he would have to change the way he spoke to certain players because there is no way they would accept his tone,” the 37-year-old wrote in The Daily Mail.
“Benitez is a manager who is never totally happy or satisfied with anyone's performance. Even on the best days, you know he always wants something more. I played for him for six years and never got a 'well done' from him once.”
Benitez is now in charge of Spanish giants Real Madrid, having been appointed the club’s coach in the summer.
Madrid will take on bitter rivals Barcelona at the Santiago Bernabeu in La Liga this evening.
Looking ahead to ‘El Clasico’, Carragher stated: “Barcelona force every team to be counter-attacking but in Ronaldo and Gareth Bale, he has the perfect weapons to make the plan a success.
“Neymar and Luis Suarez have been in sensational form and Lionel Messi could come off the bench but Rafa will have been working on a way to nullify them.
“So no matter what has happened this week, regardless of the fallout after losing in Seville, I honestly don't see Real Madrid losing this match. Benitez always responds in the moments of adversity. He is never better than when he has been backed into a corner.”
Barcelona are at the top of the league table at the moment with 27 points from 11 matches.
Meanwhile, Madrid currently find themselves second in La Liga with 24 points from 11 games.
It is important for Los Blancos to pick up all three points this evening. At least, Benitez’s side should not lose.
A six-point gap is going to be too big for Madrid to close, especially with Argentina international forward Lionel Messi to return for Barcelona.