His surprise announcement shows how frustrated foreign policy heavyweights on both sides of the aisle have become over the Trump administration's handling of the Qatar crisis and the harsh tactics of the anti-Qatar governments.
He called for a "each of the countries to sit together and continue this conversation" and said that "a lowering of rhetoric would also help ease the tension".
Qatar, for its part, has said that it would not negotiate while the neighbors are boycotting it, and would not give up what it believes are its own internal affairs.
"While some of the elements will be very hard for Qatar to meet, there are significant areas which provide a basis for ongoing dialogue leading to resolution", Tillerson said in a statement, which urged the parties to sit down and have a conversation about what he called the "requests". The demand for Turkish troops to leave their base in Qatar - their first in the Middle East - drew a fiery response from Turkish President Recep Tayyip Erdoğan Sunday, who called the ultimatum "a very, very ugly approach" that was "disrespectful" and "against global law".
Corker's withdrawal of consent effectively blocks any further weapons sales to Saudi Arabia, Bahrain and the United Arab Emirates (UAE), though it is unclear from his letter whether Egypt is similarly affected.
In his first public speech condemning the actions by the Gulf Cooperation Council or GCC members against Qatar, Mr. Rouhani vowed that Tehran would remain Doha's stalwart ally whose "airspace, land and sea of our country will always be open to Qatar as a brotherly and neighboring country".
The list also says that Qatar must close its satellite TV station Al-Jazeera and all its affiliates.
Dammam - Iran urged Europe Monday to resolve the diplomatic clash in the Gulf after Saudi Arabia, Bahrain and the UAE, in addition to Egypt, chose to cut ties with Qatar for supporting terrorism.
Trump boasted of offering $110 billion in arms sales to Saudi Arabia during his trip to Riyadh in May.
The Saudi alliance has severed diplomatic and transport links with Qatar, accusing their fellow Gulf Cooperation Council member of supporting terrorism and cosying up to Iran.
Qatar is home to an important U.S. airbase, at al-Udeid, which serves as forward headquarters for U.S. Central Command.
Speaking to Al Jazeera last week from Paris, she said: "We are against any kind of censorship and measures that could threaten the diversity in the Arab media landscape and pluralism, for instance".