It could be that Naruto is sent to Olympus as part of a challenge or a test. He doesn't understand the ways of the gods at first and his brash ninja behavior is seen as disrespectful. This angers the gods and they try to punish him. But Naruto, being the strong - willed character he is, decides to fight back and in the ensuing battle, his attacks cause destruction to Olympus.
One possibility could be that Naruto is somehow transported to the world of Greek mythology where Olympus exists. Maybe his powerful jutsu are seen as a threat to the gods on Olympus. He could start by accidentally causing chaos in a nearby village which gets the attention of the minor gods. As they try to stop him, he realizes he has to fight back to protect himself and in the process, his attacks end up targeting Olympus.
Perhaps in this fanfiction, Naruto is on a mission to retrieve a powerful artifact that is being held in Olympus. The gods, not wanting to give it up, start a battle with Naruto. Naruto, with his ninja skills and chakra, gradually overpowers the defenses of Olympus. His Rasengan could be the key weapon that he uses to break through the magical barriers around Olympus.
Maybe Naruto gets some sort of dark power that makes him go berserk and start destroying everything in his path. For example, he could be influenced by an ancient evil curse.
His Sage Mode could give him an edge. In Sage Mode, Naruto has enhanced strength, speed, and perception. He could use these abilities to dodge the attacks of the gods and then counter - attack. For example, he could sense the weak points of the gods' defenses and target them with his Rasengan or other powerful jutsu.
Well, it could be about Naruto having powers related to the Olympian gods since he's the'son of Olympus'. Maybe he has to face threats in the Naruto world using these newfound divine abilities, like fighting stronger enemies with lightning-fast speed like Hermes or super strength like Hercules.
Well, it could be about Naruto being somehow transported to the world of Greek mythology which is related to Olympus. Maybe he has to face challenges like the Greek heroes did, with his ninja skills. He might meet Greek gods and goddesses and form alliances or rivalries with them.
Well, it could be about Naruto being somehow transported to the world of Greek mythology in the Prince of Olympus setting. Maybe he has to learn the ways of the Olympians and use his ninja skills in a new context. For example, he might face off against mythical beasts using his shadow clone jutsu.
In this kind of fanfiction, Naruto might be banished due to some false accusations or political conspiracies in Konoha. Once banished, he could decide to destroy Konoha out of anger and a sense of betrayal. He may have learned powerful jutsus during his exile and use them against the village that once rejected him.
It could also be that Naruto has been tricked. For instance, someone he trusts feeds him false information about the elemental nations being involved in a heinous conspiracy against him or his loved ones. This misinformation leads him to take drastic actions and start to destroy the elemental nations. Another idea is that Naruto loses control of his newfound and extremely powerful abilities. These abilities might be too much for him to handle and they end up causing destruction on a massive scale, starting with the elemental nations.
I'm not entirely sure specifically as it's a fanfic. But generally, it might involve Percy having some extraordinary power or facing a situation that forces him to destroy Olympus. It could also be a really creative take on the existing Percy Jackson universe, where the author wants to explore a different and more radical storyline compared to the original.
In the fanfic, Naruto might destroy the army in a very unique way. Instead of using his typical Rasengan or Shadow Clone Jutsu, he could discover a new power within himself. Maybe he unlocks a special form of Sage Mode that gives him the ability to control the elements in a completely different way, allowing him to take on the army with ease.
A possible plot might involve Naruto being exposed to some ancient and powerful knowledge or artifact. This discovery gives him the means to 'destroy' bloodlines in the sense that he can change the very nature of chakra within a person. He might use this new - found ability to break the cycle of bloodline - based power hierarchies. He could start with the major clans like the Uchiha and Hyuga, and as he spreads his influence, the concept of bloodline superiority slowly crumbles, leading to a new era in the Naruto world where a person's worth is determined by their own efforts and skills rather than their bloodline.