"The president has to make a decision, where America's interests lie; and it did not lie in continuing this deal".
Zarif's statement puts pressure on U.S. European allies and other parties to the deal to find a way to keep it alive despite Trump's efforts to ice it, said Suzanne Maloney, an Iran analyst at the Brookings Institution.
Mr Zarif said on his first stop, China, that he hoped to secure a "clear future design" for the agreement.
"In the end, the size of the US market dwarfs any prospect of any benefit they can get from Iran", Maloney said.
An Iranian spokesman said Zarif will also visit Moscow and Brussels to hold meetings during the current trip.
Iran will prepare for the "industrial scale" production of nuclear fuel even as it seeks guarantees from other countries to honor the Iran deal despite the recent United States' withdrawal from the agreement.
"Iran's Military Budget is up more than 40 percent since the Obama negotiated Nuclear Deal was reached... just another indicator that it was all a big lie", he wrote.
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"It's possible", John Bolton said on CNN when asked if the U.S. might hit Europe with sanctions, stating that it depends on the conduct of other governments.
European governments are scrambling to save billions of dollars in trade with Iran that resumed thanks to the 2015 accord.
"We have had good relations with China before and since the deal", he said.
A number of voices in Iran have suggested the deal is unlikely to survive.
It reiterated that Iran was preparing to resume "industrial scale" uranium enrichment "without any restrictions" unless Europe provided solid guarantees it could maintain trade ties despite renewed U.S. sanctions.
Ayatollah Ali Jannati, the ultra-conservative head of the Assembly of Experts, said Mr Rouhani should "present his apologies to the Iranian people for the damage caused".
National Security Advisor of the United States John Bolton said in an interview with CNN news that after the withdrawal from the Iran nuclear deal, the U.S. does not exclude sanctions against European Union companies for cooperation with Tehran. Israel's PM Benjamin Netanyahu is known to be a huge critic of Iran and supports Donald Trump in pulling out of the Iran deal.