Redknapp, who came in for barracking at Aston Villa the previous week following his recent arrest by police investigating corruption in football, said: "How can we stop it?
"People say they pay their money and are entitled to...but it was vile and completely unacceptable and I have no time for it whatsoever.
"But stamping it out will be difficult. It didn't really happen when I used to go to matches as a young lad with my dad but now it is happening more and more.
"It looks like it is creeping well into the game - even if through a minority - but it is completely out of order.
"My first experience of it was a few years ago when I was watching Ronny Rosenthal play. They were shouting shocking things at him about being Jewish. I was sitting there with my wife and it was an awful thing to hear.
"But some other things that are said these days are just as bad and I wouldn't even want to tell my wife what is being said now - let alone little kids hearing it. What chance have they got for the future when their parents behave this way?"
Portsmouth play Liverpool at Anfield on Saturday and Redknapp added: "I don't expect anything like that there. They have always been a great crowd at Anfield and there is always a terrific atmosphere.
"But I don't suppose Sol will be the last player to be abused and quite honestly it is frightening."