You may play those cards that turn even if the Giant leaves the battlefield or another player gains control of it.

The cards exiled by the triggered ability created by Fire Giant's Fury are exiled face up.

Playing the exiled cards follows the normal rules for playing those cards. You must pay their costs, if any, and you must follow all applicable timing rules. For example, if one of the cards is a sorcery card, you can cast that card by paying its mana cost only during your main phase while the stack is empty.

Unless an effect allows you to play additional lands that turn, you can play land cards exiled this way only if you haven't played a land yet that turn.

Any exiled cards that you don't play by the end of your next turn remain exiled.