I get how vague that question can feel — 'the giant werewolf origin story' could mean a few very different things depending on whether you’re talking folklore, novels, movies, or comics. From where I sit, the safest starting point is to say there isn’t a single author who wrote a universal origin for a "giant werewolf" because the idea comes from many sources: ancient myths, pulp novels, modern horror novels, and comic-book reinventions.
If you mean classic literary roots, check out Guy Endore’s 'The Werewolf of Paris' — it’s one of the earliest and most influential novel-length takes on lycanthropy and often gets cited when people trace werewolf fiction back to its literary roots. If the reference is cinematic or pulp-horror, Gary Brandner’s 'The Howling' and the movie adaptations (including the well-known film version) helped codify modern movie werewolf tropes. For mythic, giant wolf figures like Fenrir, look to the old Norse sources in the 'Poetic Edda' and the 'Prose Edda' (those aren’t single authors in the modern sense, but Snorri Sturluson compiled the 'Prose Edda').
If you meant a comic-book "giant" werewolf — for example big, monstrous lycanthropes that show up in superhero comics — there are different creators across universes who reimagined the origin. Let me know where you saw the story (book jacket, movie poster, comic panel, game lore) and I’ll help chase the exact author or writer; I love this kind of hunt and always end up rediscovering something cool along the way.