Le Maire's comments are a strong response to British Prime Minister Theresa May, who in a keynote speech on Friday said trade in services as a whole needed "to be deeper than any other free trade agreement".
Speaking Tuesday on BBC radio, ahead of a meeting with British finance minister Philip Hammond, Le Maire said: "We need a deal, we need a good deal. But once again, we have to avoid any misunderstanding between the British people and the French people, between the UK and the EU.
He added that the UK would have to accept the current system used by non-EU financial companies allowed to operate within the European Union.
"We have an alternative system which is called the equivalence regimes... I think this is the best solution for the financial services," Le Maire said.
Under Brexit, London-based financial firms will lose their so-called passporting rights, which allow them to trade freely with other EU countries.
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