User blog comment:Mckrongs/Monster Hunter 4 for the Nintendo 3DS/@comment-23230538-20130925180630/@comment-11685710-20130925182205

You're only able to save quests you got from the Caravan leader or other NPCs (for the Unknwon Sea of Trees of course).

This means you can save quests for monsters like Kirin Sub, Yian Garuga and others, that are exclusive to the free hunting.