The call came ahead of a visit to Tehran by Jean-Yves Le Drian, France's foreign minister.
"If the worldwide community is to try to convince one side to stay in the nuclear deal, it is Iran and not the United States, which should be convinced", the top Iranian diplomat said, adding that Washington has not only failed to fully comply with its obligations, but even barred Europe from fulfilling its own commitments.
Le Drian said that France is determined to implement and protect the nuclear deal.
If Kamalvandi's claims are accurate, Iran's nuclear program could be up and running nearly immediately if the Joint Comprehensive Plan of Action (JCPOA) fails.
"Our missile work is.in line with our defensive policy, which poses no threat to any country", the secretary of Iran's Supreme National Security Council, Ali Shamkhani, told Le Drian, according to the Students News Agency ISNA.
On Friday, the New Yorker reported that during a meeting, which it said was attended by others involved in the nuclear deal, "Kerry quietly urged the Iranians not to abandon the deal or violate its terms - whatever the Trump Administration does".
It's unclear how much of an effect Le Drian's talks will have in Iran, especially as newspapers greeted him Monday with headlines calling him an "impudent guest" and "Trump's Parisian servant".
The Iranian-backed Lebanese militant group Hezbollah is fighting alongside Syrian President Bashar Assad's forces.
Le Drian had been scheduled to visit Tehran earlier but postponed his trip after protests across Iran in late December and early January that saw at least 21 people killed.
Rouhani re-emphasised Iran's position that the only way to resolve the Syrian crisis was to "support its central government".
Washington put pressure on the European signatories of the agreement to impose some clauses against the Iranian missile program that does not fall within the spirit and letter of the nuclear agreement.
Iran has refused any re-negotiation or additional clauses, arguing that the USA has already failed to keep up its end of the bargain on the existing accord.
Last year, Iran signed a $5-billion gas exploration deal with French energy giant Total, Tehran's biggest since the nuclear accord.
Director General of the International Atomic Energy Agency (IAEA) Yukiya Amano on Monday once again confirmed Iran's compliance with the JCPOA, warning that any collapse of the deal would be a "great loss". It's thought that Le Drian will meet with senior officials in Tehran in reaction to Trump who has threatened to quit unless European allies help "fix" the deal.
"Relations between France and Iran are old and profound because France was a pioneer of archaeological exploration here", said Jean-Luc Martinez, president of the Louvre.