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?
"How can we legislate for grown men shouting things like that at Sol? I got some as well at Villa. What affected me most was that it was done in the presence of little children.
"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."