From the Yugioh wiki, there are two rulings that contradict each other:
Suppose that both players have "Appropriate" active, and that they are in the middle of a "loop" where both players keep drawing. If a player completes "Exodia the Forbidden One" during that loop, then he immediately wins the Duel and there is no more drawing.
When resolving the effect of "Pot of Greed" or "Appropriate", if the only card left in your Deck is the last piece of "Exodia the Forbidden One", then you lose the Duel because you cannot draw when you are forced to draw.
Based on the 1st ruling, players can't lose by decking out once they've completed Exodia the Forbidden One, the 2nd one says otherwise.
Effectively, this boils down to the question: Which has the higher priority, Card Draw Effects or Instant Win Effects? Which ruling do I follow?