By RAW, it wouldn't affect natural lycanthropes but it would work on cursed ones, requiring an attack roll (unless the lycanthrope doesn't try to avoid your touch) but not allowing a saving throw. Of course, the DM is always free to change things for their own campaign.
Personally, though, that's how I would run it. Moonbeam is a significantly more powerful spell against lycanthropes at the cost of a lower level spell slot, so it seems reasonable to allow Remove Curse to negate lycanthropy with a successful spellcasting ability attack roll. While moonbeam doesn't permanently cure lycanthropy it uses a lower level spell slot, is an area effect, and deals damage (useful, since someone who was willingly cursed might continue fighting you even after being "cured"). Remove curse is the preferable option, of course, if you seek to save someone from the curse.