Rouhani said the decision meant the "certain failure" of the White House's efforts. "Tehran's strategic patience does not mean we have fear".
Asked if the new sanctions were specifically in retaliation to the downing of an American drone, the president said "you could probably add that into this", and added, "This was something that was going to happen anyway".
Mr Pompeo's visit to Abu Dhabi followed a meeting in Saudi Arabia with King Salman and came as US President Donald Trump called on consumers of oil from the Middle East to take greater responsibility for protecting shipping lanes such as the Strait of Hormuz.
"Iran's Foreign Ministry said Washington's latest move has permanently closed the path to diplomacy between Tehran and Washington".
Mr Trump said the additional sanctions were in response to the shooting down of a USA drone and "many other things".
The sanctions target Iran's Supreme Leader Ayatollah Ali Khamenei ( ), blocking him, his office, . and others. from access to US financial instruments.
"Anybody who conducts significant transactions with these sanctioned individuals may be exposed to sanctions themselves", the White House said.
USA president Donald Trump secretly authorized US Cyber Command to carry out a retaliatory attack on Iran, The Washington Post reported on June 22, 2019, shortly after the US president pledged to hit the Islamic republic with major new sanctions.
"All that Iran needs to do is to walk though that open door", he said.
In response, Rouhani accused Washington of lying over its intentions.
"You sanction the foreign minister simultaneously with a request for talks?" he said during a televised address.
The US Treasury department said eight senior Iranian commanders who "sit atop a bureaucracy that supervises the IRGC's [the elite Iran's Revolutionary Guard Corps] malicious regional activities", were being targeted.
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Other reports also say that because of the incident, China is now contemplating on putting FedEx on its own blacklist. A company spokeswoman confirmed that the package was USA bound but declined to say what it contained.
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Police are looking at surveillance footage around Hatch Park, Doubt said, adding that there were no cameras inside the park. Lueck is 5 feet, 6 inches tall, weighs 120 pounds and has a slim build, medium-length blond hair and brown eyes.
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There has been speculation that Chelsea might refuse to sell him because of the prospect of a transfer ban hanging over the club. The England U20 global returned for his long term loan from Aston Villa after help them return to Premier League action.
Relations between the two nations continued to sour, and in May - a year after Mr Trump abandoned the nuclear deal - the USA stepped up pressure on Iran by ending exemptions from secondary sanctions for countries still buying Iranian oil.
Tehran insists the aircraft violated its airspace when it was targeted while Washington maintains it was over global waters.
"These attacks threaten the worldwide waterways that we all rely on for shipping", the four countries said in a statement issued by the State Department, and urged "diplomatic solutions to de-escalate tensions".
"We'd love to be able to negotiate a deal", Trump said.
"It's about proactive deterrence", the official told reporters, adding that the deterrents would include cameras, binoculars and ships.
The US also accuses Iran of encouraging allies in Yemen to attack Saudi targets.
This comes amid heightened tensions between Iran and the U.S. over its unraveling nuclear deal and as Iran last week shot down a $100million U.S. Navy surveillance drone.
USA media have reported that Washington launched cyber attacks last week even as Trump called off his air strike. U.S. officials declined to comment on the attack.
"They said - came back - said, 'Sir, approximately 150.' And I thought about it for a second, and I said, 'You know what?"
The United States has also sought to cut off Iranian access to SWIFT, the worldwide system of interbank transfers.
Iran has responded to the economic pressure by saying it planned to violate some of the nuclear deal's commitments.
Oil prices inched lower on Tuesday, weighed down by concerns over declining crude demand and a Saudi pledge to offset any shortfall from countries hit by sanctions, as the market shrugged off risks to supply linked to tensions around Iran.