That populist narrative was popular on social media, but the truth is the exact opposite.

Germany had relatively reasonable debt and government spending relative to taxes.

Italy had entirely dysfunctional spending and Greece was essentially a house of cards built on fraud. Without the Eurozone, Greece would have faced bankruptcy and/or hyperinflation, but instead they got bailed out by the rest of the EU.

Check out Michael Lewis's book Boomerang that covers the distinct problems Iceland, Ireland and Greece faced. The TL;DR on Greece is a country with massive social spending and tiny tax receipts, that took out massive and entirely unsustainable debt thanks to the other Euro countries and then inevitably was unable to pay it back.

Germany was the hero who saved the EU from complete implosion, but instead of being thanked they get misplaced anger for being the only responsible ones in the room.