We study the properties of a generalized metallic, a generalized product and a
generalized complex structure induced on the generalized tangent bundle of a
smooth manifold $M$ by a metallic Riemannian structure $(J,g)$ on $M$,
providing conditions for their integrability with respect to a suitable
connection. Moreover, by using methods of generalized geometry, we lift $(J,g)$
to metallic Riemannian structures on the tangent and cotangent bundles of $M$,
underlying the relations between them.