In an earlier interview with ABC News, Cohen said his primary loyalty was to his family and the United States, a notable change from earlier statements that indicated he'd protect Trump above all others.
Lawyers for President Donald Trump unleashed a blistering attack on former FBI Director James Comey in a confidential memo a year ago to the special counsel, casting him as "Machiavellian", dishonest and "unbounded by law and regulation" as they sought to undermine the credibility of a law enforcement leader they see as a critical witness against the president.
Giuliani also said he has no concerns about what Michael Cohen, Trump's former longtime personal lawyer and so-called fixer, may tell investigators.
"We have no reason to believe he did anything wrong", Giuliani said.
Giuliani made the television rounds Sunday morning, appearing on three different programs, as speculation grew louder last week that Cohen was inching closer to criminal charges and possibly working out a deal with prosecutors.
He said Giuliani is taking public positions - such as setting conditions for a possible Trump-Mueller interview - because he realizes that this case is playing out in the court of public opinion.
Samsung opens world’s largest phone factory in India
Samsung is being viewed as perfectly positioned now to take full advantage of India's rapidly growing demand for smartphones. The South Korean President is on a three-day visit to India, having arrived in New Delhi on Sunday evening.
Following reports last week that Giuliani said he wants the special counsel Robert Mueller to show a "factual basis" before Trump agrees to testify under oath, Giuliani upheld his suspicion of the investigation's roots.
Scarborough offered no counterpoint to respond to his anti-Trump monologue and no acknowledgment Giuliani has the right to question the investigation.
In recent weeks, Cohen has made a number of moves indicating that he's willing to turn against the president if federal investigators from the Southern District of NY or the FBI want him to. The president did nothing wrong with him, so we've gone through every document we can.
Giuliani said in a separate interview on NBC's "Meet the Press" that they had "pretty much decided" where they were with regard to an interview. They can investigate forever. Giuliani called Mueller's inquiry "a witch hunt and an attempt to trap him in perjury". Cohen told ABC he did not dismiss the possibility of cooperating with the Russian Federation investigation.
"One source said to me this is his version of July 4th, which is Independence Day", she continued.
Cohen also defended the Mueller investigation as a whole, saying, "I respect our nation's intelligence agencies'".