Nintendo has been quiet about Amiibo figure support, other than the fact that the figurines will fully be supported with Super Smash Bros. for Wii U. No other games had been specifically mentioned for Amiibo support, but that is changing today.
Nintendo of America jumped on Twitter (via Joystiq) to announce that the Link figurine will work with Hyrule Warriors, making it the first non-Smash Bros. game to confirm Amiibo support. Specific functionality was not given, nor did the company announce whether Zelda and Sheik figures would see similar support, given that they're also playable characters. But if nothing else, this seems to indicate that Nintendo is fairly serious about implementing Amiibo support with their first-party licenses.