The comments from Beijing and Berlin signaled growing anger from partners of the United States, which reimposed strict sanctions against Iran on Tuesday, over its threat to penalize businesses from third countries that continue to operate there.
Iranian Foreign Minister Mohammad Javad Zarif said on Wednesday that a US plan to reduce Iran's oil exports to zero will not succeed, according to the Iran state newspaper.
According to Rouhani's own Mehr press agency, he also spoke of the USA withdrawal from the Iran nuclear deal, saying the move resulted in complete loss of faith in Washington.
Trump tweeted on Tuesday that the new sanctions, which were lifted under a 2015 global nuclear deal, were the most biting sanctions ever imposed.
Iran's ambassador to the United Nations Gholamali Khoshrou, in a commentary published by Britain's Guardian newspaper on Wednesday, said that Trump was making history by violating a U.N. Security Council resolution it voted for three years ago.
"You have all these different pressures and people are getting upset and for the most part, from what we can tell, they're blaming the regime and they're not really blaming the U.S.", Politico foreign affairs correspondent Nahal Toosi said on the Bill Press Show.
"Tantrums & CAPPED TWEETS won't change the fact that the world is sick & exhausted of U.S. unilateralism".
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Last month, Trump offered to meet Iran's leaders "without preconditions".
"We want to see a much broader retreat by Iran from their support for worldwide terrorism, their belligerent military activity in the Middle East and their ballistic missile, nuclear-related programs", National Security Advisor John Bolton told Fox News.
U.S. Central Command head Gen. Joseph Votel said he believes that the exercise was meant to be a message to Washington over re-imposing economic sanctions on Iran.
Despite the political will to hold firm, many large European firms such as German automaker Daimler are leaving Iran for fear of United States penalties.
Already facing broad economic fallout as their currency implodes, Iranians are wondering how the next phase of the crisis in USA relations will play out - and what, exactly, America's long-term strategy is toward their country.
Long-running discontent over high prices, unemployment, water shortages and the lack of political reform has sparked numerous protests over the past week, though verifiable information is scarce due to heavy reporting restrictions. Unlike many other news organizations, we have not put up a paywall. "I doubt that in the next two years we would see the collapse of the government or the regime in Tehran".