Amano said Iran was implementing its commitments under the deal, which also lifted painful economic sanctions against the Islamic Republic.
Le Drian was in Tehran on a delicate mission to reaffirm Europe's support for a nuclear deal that opened Iran's economy while echoing US concern about Tehran's missile programme and role in regional conflicts.
A USA exit could kill the agreement, officially known as the Joint Comprehensive Plan of Action (JCPOA), which Tehran has refused to renegotiate.
On Monday, French foreign minister Jean-Yves Le Drian visited Tehran to discuss the missile program.
"We're not going to be Donald Trump's envoys or Iran's defense lawyers", said a French diplomatic source.
"If the worldwide community is to satisfy only one side of the deal to remain in it, this is Iran which should be satisfied not the USA because the latter has not only principally hampered the implementation of the deal but also pressurized the European Union into not fulfilling its commitments", he said.
Elsewhere in the meeting, Shamkhani called on Europe to accelerate the implementation of the Joint Comprehensive Plan of Action (JCPOA), the nuclear agreement between Iran and the Group 5+1 (Russia, China, the US, Britain, France and Germany).
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Iranian officials have repeatedly said that the country's missile and nuclear programs are intended for defensive purposes and are non-negotiable as they are "for peaceful purposes".
At the time of signing up for the deal, Iran's main objective for entering the agreement, was to dupe the Obama administration into returning billions of dollars, which had been impounded due to its continual pursuance of illicit nuclear activity.
"The condition for negotiations on Iran's missiles is the destruction of America's and Europe's nuclear weapons and long-range missiles", Brigadier General Masoud Jazayeri told the official IRNA news agency. "Do we tell France how it should defend itself?" he told the semi-official ISNA news agency.
French President Emmanuel Macron on Sunday asked Rouhani to put pressure on the Syrian government to end its operations against terrorist-held eastern Ghouta region on Damascus suburbs.
For his part, Rouhani said countries exporting weapons to Saudi Arabia - France being one of the biggest suppliers - must answer for war crimes being committed by that country in Yemen.
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.
As stated by Ali Akbar Salehi, the head of Iran's Atomic Energy Organization, when commenting on Donald Trump's threat; it would be possible for Iran to produce 20 percent enriched uranium at its Fordo plant, within four days of the nuclear deal collapsing.