"Amiibo compatibility" means that a game or device can interact with Amiibo figures. These figures have built-in technology that can be recognized by the game or device, allowing them to unlock special content or features. Full definition
With more DLC slated for release this year, along with added amiibo compatibility, the team behind the game doesn't show any signs of stopping. (nintendotoday.com)
The official Legend of Zelda Facebook page has just released a brand new amiibo compatibility chart for Breath of the Wild. (nintendowire.com)
So far, on Nintendo's official site, there's no mention of amiibo compatibility for the 3DS version. (nintendowire.com)