"In the end with the Roos job where I was at a different place was the process they went through in the end," Bennett told Fox Sports TV. "Which I thought was, I have to be careful what type of word I use, anyway when that was over I moved on.
"It (Kangaroos process) is a story worth telling one day but I am not going to tell it today."
Asked if he had undermined Meninga, Bennett said: "No."
Asked if he respected Meninga, Bennett replied: "I always have.
"I've got quite a good relationship with Mal, I spent some time with him yesterday (Wednesday) - it's all good."
Pressed, Bennett said: "I am not going further with the conversation here - it's not me or Mal. I have always been friends with him, nothing's changed from my point of view."
Bennett also took another swing at critics claiming he did not promote the game in England.
Bennett's abrupt, monosyllabic sideline interviews have earned the ire of the UK press, with the likes of TV expert and former Wales boss Iestyn Harris accusing the 65-year-old of being disrespectful.
He defended his stance during a mid-week team press conference but elaborated further ahead of England's crunch clash.
"I am just Wayne. I have been getting that criticism for some 38 years now," he said.
"I'm over here, five weeks away from my home ... I don't know how they work out that I'm not promoting the game.
"I mean the critics are sitting at home in the lounge rooms in Australia drinking their wine and I'm out here at the coal face getting the job done."