Often, his friends in Konoha will start to search for him. They might split into teams and scour the surrounding areas. For example, Sasuke could use his Sharingan to look for any signs of Naruto's departure. Meanwhile, back in Konoha, there could be unrest as the villagers start to worry about the safety of the village without Naruto.
Often, his friends start to search for him. His best friend Ned might use his tech - savvy skills to try and track him down. They might follow some leads that Peter left behind, like a special code or a hidden message.
As the story progresses in a 'Naruto Defects from Konoha Fanfic', Naruto might also start to question his own identity and values. He has grown up believing in Konoha's ideals, but now that he's outside the village, he has to re - evaluate everything. He could meet new people from different villages or backgrounds who challenge his previous beliefs. This internal struggle, along with the external conflict with Konoha, can make for a very engaging and multi - faceted story. His actions might also have a significant impact on the relationships between different villages in the ninja world, as his defection is a major event that shakes the status quo.
Naruto himself might start to form his own group or alliance outside of Konoha. He could gather other outcasts or those who have a grudge against the major ninja villages. This new group could then have its own goals, like trying to reform the ninja world in a way that is different from how Konoha and the other villages operate. As the story progresses, there would be inevitable clashes between Naruto's new group and Konoha.
The development varies a great deal. In some fanfictions, after releasing the Kyuubi on Konoha, Naruto is exiled. He then has to find his own path outside the village. Along the way, he meets new allies who help him understand his power better. He might also encounter new enemies who are interested in the Kyuubi's power. Eventually, he could return to Konoha as a more powerful and wiser shinobi to make amends.
Perhaps he discovers something about his past or his powers that makes him feel he has to leave Konoha to explore it further. For example, he might find out about a hidden place related to the Uzumaki clan and wants to go there alone to uncover the secrets. Or it could be that he has some kind of internal conflict within himself, like feeling unworthy of being in Konoha due to some self - perceived failure, and so he runs away.
They might encounter new allies. These could be people with different abilities and backgrounds. For example, they could meet a group of rogue ninjas who turn out to be good-hearted and help them on their journey.
After Naruto releases Kyuubi on Konoha, the story could take a turn towards a redemption arc for Naruto. He would have to face the consequences of his actions and work hard to earn back the trust of the villagers. Meanwhile, other characters could start to explore the reasons why Naruto did what he did, which might uncover some hidden secrets about Naruto or the village itself.
The remaining members of Team 7 could struggle without him at first. They might have to re - evaluate their own skills and teamwork. Eventually, they could either try to convince Naruto to come back or move forward and become stronger on their own.
In some fanfictions, Harry's disappearance could lead to the discovery of new magical powers or places. Maybe he stumbles upon a hidden magical realm while in hiding. This new place could have its own set of rules and powers. As he tries to figure out how to get back to Hogwarts or deal with the situation that made him disappear in the first place, he has to learn about these new powers and make alliances with the beings in this new realm.
Naruto's character often becomes more jaded at first. Being banished makes him question his loyalty to Konoha. He starts to see the world in a different light and realizes that not everything is as it seems. He becomes more self - reliant as he has to fend for himself in unfamiliar places. In crossovers, he might learn new values from the other world he enters. For example, if it's a world where honor is highly prized, he might adapt and incorporate that into his own code.