It could mean that in the context of fanfiction, Naruto has a significant influence or stake in the stories related to Konoha. Maybe in these fan - created stories, Naruto has control over half of the village's affairs, or half of the fan - written narratives about Konoha somehow revolve around Naruto.
No, it's not a common concept. I've rarely seen such a specific statement in the Naruto fan community. Most discussions revolve around character development, plotlines, and shipping rather than this kind of ownership idea in fanfiction.
I don't think it's a super popular concept in the Naruto fanfiction community. There are so many directions fanfiction can take. Some focus on romance, others on battles or new powers. While Naruto's relation to Konoha is fundamental, the idea of him 'owning' it in fanfiction is not something that seems to be everywhere. That said, there may be some fanfictions out there that play with this idea, but compared to things like exploring Naruto's heritage or his growth as a ninja, it's probably not as prevalent.
He might use his magic skills to stand out. For example, his ability to perform spells could be seen as a unique talent in Konoha. His shop could become a place where ninjas are curious to visit and learn about different kinds of magic.
Well, in some fanfictions, Naruto might outsmart Konoha by using his unique knowledge of the village's secrets that others don't know. For example, he could use his understanding of the old tunnels under Konoha to his advantage in a situation where he needs to escape or gain an upper hand in a conflict.
Naruto might forgive Konoha because he realizes that holding a grudge won't solve anything. He has seen the destruction that hatred can cause, like during the Pain arc. So, he chooses to forgive in order to move forward and bring about positive change. Another reason could be his respect for the previous Hokages and their ideals for Konoha.
One possible reason could be fear. Naruto has the Nine - Tails within him, and some in Konoha might be too afraid of its power getting out of control. They may not fully trust Naruto to keep it in check.
One popular theme is the daily life in Konoha. It could be about the characters going about their normal days, training, having fun at the local shops, or just hanging out with friends. Another theme is about Konoha during a war or a major threat. How the village prepares, the strategies they come up with, and how the characters, especially Naruto, contribute to the defense. And then there's the theme of Konoha's past. Stories that explore the history of the village, the founders, and how things have changed over time.
One reason could be that Naruto has seen too much death and destruction in Konoha. His 'godlike' state might make him think that the only way to end all the suffering is to destroy the root cause, which is Konoha. He may believe that Konoha's system is so broken that it can't be fixed and needs to be completely eradicated.
Another reason might be that Naruto is seeking a greater purpose. In the fanfiction, his 'godlike' state could make him realize that there are threats out there that he can't face while being tied to Konoha. He may leave to protect the world on a larger scale, believing that he can be more effective away from the village.