The establishment which in a given State is in charge of issuing bank notes and controlling the volume of currency and credit. In France, it is the Banque de France which assumes this role under the auspices of the European Central Bank
ECB
European Central Bank
The European Central Bank is a European institution based in Frankfurt, founded in 1998, to which the countries of the Eurozone have transferred their monetary powers. Its official role is to ensure price stability by combating inflation within that Zone. Its three decision-making organs (the Executive Board, the Governing Council and the General Council) are composed of governors of the central banks of the member states and/or recognized specialists. According to its statutes, it is politically ‘independent’ but it is directly influenced by the world of finance.
https://www.ecb.europa.eu/ecb/html/index.en.html
(see ECB) while in the UK it is the Bank of England.
ECB : https://www.ecb.europa.eu/home/html/index.en.html
Banque de France : https://www.banque-france.fr/
Bank of England : http://www.bankofengland.co.uk/Pages/home.aspx