He was instrumental in successfully lobbying for that ban to be dropped and is known to have always been pressing his old friend Trump to scrap the Obama-led nuclear pact.
Jay Sekulow, a lawyer on Trump's legal team, did not immediately respond to CNBC's request for comment on Giuliani's announcement.
Giuliani's engagement with Trump's domestic legal woes have been every bit as incendiary.
Rudy Giuliani, the former NY mayor and the latest appointee to President Donald Trump's legal team, attends the 2018 Iran Freedom Convention for Human Rights & Democracy, in Washington, D.C., on May 5.
Android P 9.0 Everything you need to know and supported devices
Google noted that more than 2 billion websites have been created in the almost 30 years since the world wide web launched. And "Wind Down Mode" will fade the screen to grayscale at a designated bed time to help you disconnect before bed.
It contradicted Trump's previous denials and was portrayed in many media outlets as a "blunder" by Giuliani.
Avenatti earlier this week challenged Giuliani to a head-to-head debate. Cohen's lawyer, Stephen Ryan, said the raids were the result of a referral from Mueller's team, and were reportedly signed off on by Deputy Attorney General Rod Rosenstein, who gained oversight over the special counsel's probe following Attorney General Jeff Sessions' recusal. But he added, Giuliani now recognizes that the new task is "all consuming" and "lasting longer than initially anticipated".
Originally, Giuliani and the firm believed he would not be working for Trump this long.
Giuliani made explosive headlines after revealing that Trump reimbursed Cohen for paying Daniels, in order to stave off allegations that the payment was a campaign contribution.
SpaceX Postpones First Commercial Launch of Updated Falcon 9 Rocket
The new launch window comes off the back of Elon Musk pulling the plug on Thursday's launch opportunity in the last 60 seconds. The launch will happen today somewhen between 16:14 and 18:21 EDT, from the Cape Canaveral Air Force base in Florida.
Significantly, Trump has taken to the Fox News airwaves to sing the praises of a quartet of "absolute warriors" - relatively junior GOP congressmen Jim Jordan, Mark Meadows, Matt Gaetz and Ron DeSantis.
Mueller is investigating claims of Russian interference in the 2016 presidential election and whether Trump's campaign colluded in that effort.
Cobb is known to have vainly fought to curb Trump's Twitter attacks on Mueller and the Justice Department and to privately blame the president for the rancid atmosphere between the White House and the special counsel. Perhaps Giuliani's former bosses would even have granted him a sabbatical, and then allowed him back, if the words coming out of his mouth since joining Team Trump hadn't become so thoroughly mortifying by association. More likely, as others have speculated, "America's Mayor" was told he had 24 hours to cough up a letter announcing his departure, or the firm would cough it up for him.
"That was money that was paid by his lawyer, the way I would do, out of his law firm funds", he said on Fox News.
EPL: Wenger speaks on what successor 'must do' at Arsenal
Wenger will leave the Gunners at the end of the season, having led the club to three Premier League titles and seven FA Cups. The Frenchman's final game in charge of the club will be against Huddersfield on Sunday.