It has control as Germany is part of the Eurozone, the ECB is subjected to the EU treaty, operating under its guidelines, and is accountable to the European Parliament, in which the people of Germany have a say. Maybe it is not as accountable as we wish it were, but it is far from what Facebook would be.
Isn't the Bank of England privately owned? Or perhaps it merely was privately owned. If Facebook does this, they had better be prepared to be nationalised.