Iran has dismissed both moves - which the United States said it took after USA intelligence signaled possible preparations by Tehran to attack U.S. forces or interests - as "psychological warfare" created to intimidate it.
Iran's Foreign Minister Mohammad Javad Zarif said in a tweet on Sunday John Bolton had planned the United States withdrawal from a 2015 nuclear deal and a more aggressive approach even before the U.S. national security adviser took up his post.
"Zarif now is doing exactly what Zarif does really nicely, which is setting the table for discussions because I think the Iranians are now realizing that they might not have the ability to wait Trump outside", said Mark Dubowitz, chief executive of the Foundation for Defense of Democracies and a politician of this offer.
"Bolton's statement is a clumsy use of an out-of-date event for psychological warfare", Iran's Supreme National Security Council spokesman Keyvan Khosravi said. Takht Ravanchi said in a US TV interview.
Iran says the strategy amounts to "psychological warfare" and a senior Iranian Revolutionary Guards commander on Sunday said Iran would retaliate against any aggressive US moves. But the economic sanctions Trump imposed previous year have made it tough, if not impossible, for European companies and banks to risk defying the US and getting caught in its sanctions net.
The U.S. has sent forces, including an aircraft carrier and B-52 bombers, to the Middle East in a move that officials said was to counter "clear indications" of threats from Iran to American forces in the region.
Administration officials said that the sanctions are created to bite Iran's economy beyond the oil sector, which provides most of the nation's wealth, and that Mr. Trump is prepared to go further if provoked.
Iran threatened to improve its uranium stockpile nearer to weapons-grade amounts in 60 days if world forces fail to negotiate provisions for the 2015 nuclear deal.
Asked about Trump's comments, Iran's ambassador to the United Nations Majid Takht Ravanchi said Iran had been talking with the six powers, including the United States, within the framework of the nuclear deal.
Trump's top diplomat Mike Pompeo said the military build-up is a response to intelligence about Iranian attack.
Iran has threatened to go further if other signatories fail to shield it from United States economic sanctions.
The UK, Germany and France have established the Instrument for Trade and Exchanges (INSTEX) in a bid to satisfy Iran's demands for trade despite usa sanctions.
He warned war between the U.S. and Iran would have "tremendous unforeseen consequences in the Middle East" that would be "very, very dangerous". "USA allies are not happy that this is happening and they say that they will find ways of resisting it", said Zarif.
Trump rashly rejected that trade-off, and his administration has sought to squeeze Iran with sanctions that could prompt Iran to abandon what's left of the deal.
US President Donald Trump on Thursday urged Iran's leaders talk with him about giving up their nuclear program and said he could not rule out a military confrontation.