Berlin’s government is offering to give away a villa once owned by Adolf Hitler’s propaganda minister, Joseph Goebbels, hoping to end a decades-long debate on whether to repurpose or bulldoze a sprawling disused site in the countryside north of the German capital.

“I offer to anyone who would like to take over the site, to take it over as a gift from the state of Berlin,” Berlin’s finance minister, Stefan Evers, told the state parliament, the German Press Agency reported.

Berlin has repeatedly tried to hand off the site to federal authorities or the state of Brandenburg, where the…