The Swansea defender has expressed a deep-rooted hatred of the controversial Liverpool striker and even went as far as saying in his book that he wants to "knock him out" over his diving antics.
The comments are bound to fire up the in-form Uruguay international when the two sides meet at the Liberty Stadium this weekend, but Rodgers was keen to stress the situation has been sorted out and implied Williams' comments have been misread or taken out of context somewhat.
"I have spoken to Ash, and Ash has spoken with Luis, so there is no issue there," Rodgers said. "When I saw it, I was surprised because Ash is a real good man with good intelligence and maturity and a good footballer player.
"When I saw those comments, I spoke to him and got the full explanation of how it seemingly got out there. He was very quick to want to apologise for that.
"That is done. There is no problem there and I am sure they will shake hands on Sunday and get on with it."
Meanwhile, Rodgers could get a hot reception when he takes the Reds back to his old club and he insists he has nothing but good memories from his time in Wales.
"It is a real special place Swansea. I spent two fantastic years there and had a wonderful rapport with the supporters," he added. "The club were brilliant for me and I hope I gave them something back while I was there.
"I never said I was going to be there for many years but it took a truly unbelievable club like Liverpool to draw me away. Whatever reception I get is irrelevant, the important thing is I know the good people there and I am sure time will heal any bad thoughts."