Gleaming silver sword made of goblin-forged steel with a ruby-studded hilt
Something gleamed in the light of the wand and Harry spun about, but all that was there was a small, frozen pool, its cracked, black...
Harry Potter and the Deathly Hallows
by J.K. Rowling
According to reliable historical sources, the sword may present itself to any worthy Gryffindor. That does not make it the exclusive property of Mr Potter, whatever Dumbledore may have decided.