For its part, Doa'at al-Islam Shiite militia said in a statement on Wednesday that the actions of imposing unilateral sanctions on Iran by the United States and its president Donald Trump was a violation of all human values and worldwide norms.
Since it unilaterally pulled out of the deal in May, Washington has told other countries that they must halt all imports of Iranian oil from November 4, or face USA financial measures.
Trump responded by noting that Iran could face serious consequences if it threatened the United States.
Critics accused him of mismanagement and blamed him for the country's recent economic problems, which have been exacerbated by the restoration of USA sanctions lifted under the 2015 nuclear agreement.
In a White House statement announcing the sanctions, Trump repeated his criticisms of the deal, and argued that Iran's behavior since the pact was implemented has vindicated his long-held position.
In an interview with the Iran newspaper published on Wednesday, Mr Zarif said the Trump administration's stated aim of cutting Iranian oil exports to zero was "meaningless" and "impossible".
The DPRK foreign minister in response reiterated the praise for the two countries' longstanding relationship and agreed with the Iranian President's calls for strengthening ties.
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In a press conference on Tuesday evening, Iraqi Haydar al-Abadi said that Iraq is committed to the United States sanctions against Iran, pointing to the Iraqi interests.
The first wave of USA sanctions took effect on Tuesday. Donald Trump claimed they were "the most biting ever imposed" and warned that in November, sanctions would "ratchet up to yet another level" with an embargo on Iranian oil and blanket sanctions on Iranian banks.
President Hassan Rouhani hinted last month that Iran could block the Strait of Hormuz, a major oil shipping route, if the US attempted to stop the Islamic Republic's oil exports.
The European Union has also unveiled a "blocking statute" meant to mitigate the impact of the U.S. sanctions on European firms doing legitimate business with Iran.
Already facing broad economic fallout as their currency implodes, Iranians are wondering how the next phase of the crisis in U.S. relations will play out - and what, exactly, America's long-term strategy is toward their country.
His visit to Iran is the first by a high-ranking DPRK delegation since August previous year, when President of the Presidium of the Supreme People's Assembly Kim Yong Nam and vice foreign minister Choe Hui Chol spent several days in the country.
The U.S. on Monday re-imposed sanctions that had been lifted as part of the nuclear deal.