Sir Michael Parkinson has told ITV News the investigation into his friend Sir Cliff Richard and others "feels like some sort of witch hunt."
He said anyone who has not been charged with a crime should not be named by police or have their names reported in the press.
The talk show host, who lives close to disgraced entertainer Rolf Harris, criticised police handling of such cases saying "the media were there before the police were."
He added there was a "lot to be learned" from Operation Yewtrew and said media should "tread more softly" when covering such stories.
Sir Michael Parkinson said the cancer is contained to his prostate, and that he should be "completely free" of the disease by August.
And he urged men to pay greater attention to their health in order to catch potential diseases early - with a simple test to check for prostate cancer.
Sir Michael added: "I'm 78 and I have had a good life. When you get involved in this, you begin to understand the extraordinary work of those involved in treating cancer.
"You just sit and look at them in wonder. They do the most extraordinary things, and I am very grateful.
"I shall be around for a while yet, to the delight of my friends and the dismay of my enemies."
Sir Michael Parkinson was diagnosed with prostate cancer in May after a routine health check and doctors immediately began organising his treatment, which involves five sessions of radiotherapy a week.
The renowned journalist and interviewer said he was left in shock by the diagnosis, but said he was "in wonder" at the "marvelous" work of medical staff after initial thoughts of his own mortality.
The 78-year-old said: "I had to start calling a few of my social engagements to tell them I couldn't do it - what do you say to them?
"When you are told you have something like cancer, it is a shock. But the cancer specialist said: 'I will assure you, you will not die of this.'
"I am concerned about it, of course, but I am not frightened of it."
Chat show host Sir Michael Parkinson has revealed he has cancer.
The television legend, 78, is currently undergoing radiotherapy for prostate cancer but said he confident of fighting the disease and returning to full health.
Sir Michael said: "It was a great shock, but I have been told to expect to make a full recovery."
Michael Parkinson, speaking in an interview to be broadcast tomorrow night on Classic FM, said he "didn't much like" Jimmy Savile and "couldn't understand why he became so popular."
He went on defend the BBC on one aspect of the criticism levelled at the corporation:
Parkinson said he first met Savile in Manchester in the 1960s when they both worked at Granada, adding:
Michael Parkinson has said the BBC made "mistakes" over the Jimmy Savile abuse case, but the real question was why the DJ was given access to schools and hospitals.
The veteran chat show host, who worked for the corporation for many years, said he was looking at the BBC "with despair" after the revelations about Savile.