Mr Jean-Yves Le Drian, French Minister for Europe and Foreign Affairs, traveled to Iran on 5 March.
"As we have announced several times in the past and announce it once again, the country's defense capabilities and power are not subject to negotiations and bargaining", Ayatollah Khamenei said at the time.
To send a message to France, Iranian media said, Shamkhani appeared in military uniform in his meeting with Le Drian.
Trump is concerned that parts of the deal start to expire from 2026 and that it fails to address Iran's missile programme, its regional activities or its human rights abuses.
Shamkhani added that all signatories, including the United States, must remain committed to the worldwide nuclear agreement and it is not acceptable to ask one signatory to remain in the deal.
"We have also opened a special line of credit for commercial cooperation with Iran and investment in joint projects", he said. Fars news agency said a group of hardliners gathered at Tehran's International Mehrabad Airport to protest Le Drian's visit.
During the 1980-1988 Iran-Iraq War, the Saddam army rained down missile on Iranian cities.
Also, France's oil and gas company Total has signed an agreement worth $4.8 billion for the development of South Pars Phase 11.
The deal is "international diplomatic achievement", and it should be protected, he stressed.
He regretted, however, that the agreement has been facing "irrational playing and politicking" by the US. "If not tackled head-on, this country risks new sanctions".
The European countries should not let the USA make "illogical" and "illegal" demands in addition to violating its obligations, Zarif pointed out.
The Iranian foreign minister said preserving the global diplomatic achievement is equally important for all involved sides and added lip-services is not enough.
Trump in January set a 120-day deadline for USA lawmakers and European allies to "fix" his predecessor Barack Obama's major foreign policy achievement or face a U.S. exit.
Any move to undermine the JCPOA would result in the loss of credibility of other worldwide agreements, Shamkhani also made the remarks in a meeting with Le Drian.
Iran, the five permanent members of the UN Security Council - the U.S., UK, France, Russia, and China - Germany and the European Union struck the nuclear deal on July 14, 2015.
Since the lifting of the sanctions in January 2016, French automakers have piled into Iran's resurgent market, helping turn around a period of slipping sales which occurred when they left the country in 2012.
As of today, I can state that Iran is implementing its nuclear-related commitments.
Since the nuclear deal went into force the International Atomic Energy Agency has issued ten reports confirming Iran's compliance with its commitments.
Iran's clerical rulers believe that even if it were to do so, as called for by Western leaders, the United States is bent on "regime change" in the Islamic Republic and therefore any concessions would be futile.
In their phone conversation, the two presidents agreed to work together in the coming days with the United Nations, Syria and other countries involved, to improve the situation for civilians and make a ceasefire effective, it added.