No, that is not true. Almost all of them are owned by the government, some operate autonomously others semi autonomously.
Is it true that central banks are privately owned?
Does every central bank maintain foreign exchange reserves?1 ansDo banks in developing countries follow international banking regulations?1 ansWhen a new currency is created, how does it move from the central bank into circulation among people?1 ansCan central banks own assets like real estate, or would that conflict with their mandate or relationship to markets and government?1 ans