There might, though, be a run TO the banks, to deposit your Euros in time to get them magically changed into Deutschmarks.
So, Germany acts like they run the Eurozone, because the Euro runs on Germany's economic status.
Now, why Italy, Greece, etc. continue to remain inside a currency zone that is not appropriately valued for them, is a different question. I would not be surprised that, if the League ever gets control of the Italian government, they will withdraw. But until then, the Mediterranean countries are handicapping their own economic competitiveness voluntarily, it's not as if it's Germany's fault, since it wasn't Germany's idea.
And if Germany got rid of the Euro this would certainly cause bank runs since Germans would be afraid that the Euro quickly devalues against the new currency.
Their trade surplus has been a subject of intense criticism by economists and other EU states, but Germany calls the shots in the eurozone economy.
https://www.economist.com/leaders/2017/07/08/why-germanys-cu...