Yes, according to the Hero's Journey Odysseus is indeed a hero. The first stage of a hero's journey is a call to adventure. This begins when Odysseus is called to the battle of Troy. After the invitation, there is the refusal of the call which is shown when Odysseus tried to stay with his wife and son instead of going into battle. In most of the book, Athena continued to constantly save Odysseus and helped him on the journey therefor completing the third step in a hero's journey which was having a mentor. The crossing of the threshold is the fourth step and it is shown when the Trojan War started because he was introduced to a world that was not his. In addition, the fifth step is the tests, this is where a hero encounters enemies and allies.