"We accepted the JCPOA, but enmities with the Islamic Republic did not end", he said.
He likened some Persian Gulf political leaders to "America's slaves", adding that Iran does not want to be like them.
Mr Le Maire said France is pushing for exemptions for its companies, but that he has "no illusions" about a generous American response.
He also repeated a position Iranian hardliners occasionally express, saying that previous USA administrations behaved in the same way but the Islamic Republic would live longer than all United States presidents would.
The French government is seeking waivers and longer transition periods from the United States for companies such as Renault and Total, Finance Minister Bruno Le Maire said, while pressing for European Union measures to improve the bloc's "economic sovereignty" in the longer term.
The protests resembled other aggressive but orderly gatherings typical under President Hassan Rouhani, who has tried for a rapprochement with the West. Iran says its nuclear programme is for peaceful purposes only.
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Chairman of the Majles Foreign Policy and national Security Committee, Alaeddin Boroujerdi said the Parliament is ready to approve a budget to boost Iran's military forces and missile program.
The Treasury Department said it took joint action with the United Arab Emirates against nine Iranian individuals and entities involved in the network, and threatened sanctions against any other companies that help those nine.
The top diplomats of Iran, France, Britain and Germany are expected to meet early next week to discuss their next steps. "If we accept them too, they will bring up another issue".
The decision overturned years of painstaking diplomacy and left European allies scrambling to save the hard-fought deal.
Pro-Rouhani newspapers largely played down the significance of the USA pullout.
Earlier, thousands of Iranians took to the streets in cities across the country to protest against the USA withdrawl.