Well, if Naruto was raised by Minato in fanfiction, it could change a whole lot. Minato was a very talented ninja. So Naruto would be exposed to high - level ninja techniques much earlier. He might not have that same drive to prove himself as in the original story, since he would already have the love and support of his father. Also, their family dynamic could be really interesting to explore, like how Minato would handle Naruto's pranks and his growing up process.
In this kind of fanfiction, Naruto's life would be drastically different. He might be trained in Kumo's unique ninja arts. Minato being alive could mean he has some sort of connection or influence on Naruto from afar. Maybe Naruto would grow up with a different set of values influenced by Kumo's culture, while still having his father's legacy in the back of his mind.
Naruto's character would develop in a more balanced way. Minato was calm and intelligent. So Naruto would learn those traits from him. He wouldn't have the same insecurities as in the original story. He might be more of a natural leader from the start, as Minato was also a respected leader. And he would have a better understanding of the village's politics and history because Minato would be there to educate him.
One idea could be that as a female Naruto, she might face different challenges in the ninja academy. For example, the boys might underestimate her at first. Minato could train her in unique ways, like focusing more on stealth and agility which are often associated with female ninjas in some stories. This could lead to her developing her own signature jutsu that combines her natural strength and her newfound skills.
Well, if Naruto was raised by Minato and Kushina, one major change would be his self - esteem. He wouldn't be the outcast he was in the original story. Growing up with his parents, he'd have a strong sense of family and love. He'd probably be more confident in his abilities from the start. Also, his training might be different. Minato could teach him some of his signature jutsu at an earlier age. And Kushina could pass on her strong - willed nature to him more directly.
In the fanfiction, Minato's influence on her would also shape her character differently. Minato might teach her more about diplomacy and using her charm as a weapon, in addition to combat skills. This would make her a more well - rounded character compared to the original Naruto who was mainly focused on getting stronger through combat training. Her development would involve learning to balance her femininity with her ninja skills, and this journey would be a major part of her character arc.
Naruto's development would be a very interesting mix. In Kumo, he'd be exposed to different types of chakra natures and fighting styles. His Rasengan, for instance, could be modified with Kumo's lightning chakra to create a more powerful and unique attack. Minato's influence would ensure that Naruto has a solid foundation in space - time ninjutsu. Also, being in Kumo, Naruto might learn to control his Nine - Tails chakra in a different way, maybe with the help of Kumo's unique methods of chakra control. This would make him an even more formidable ninja compared to his original development in Konoha.
In fanfiction, Naruto and Minato often represent a connection between generations. Minato was a great ninja in his time, and Naruto is following in his footsteps. Fanfictions can explore how Naruto lives up to his father's reputation.
I'm not sure if there is such a specific fanfiction. Fanfiction can cover a wide variety of themes and scenarios, some of which might be rather strange or controversial. However, Naruto fanfiction often explores different relationships and alternate storylines, but this particular one seems a bit unorthodox and I haven't personally come across it.
One popular theme is Minato getting to know Naruto in the afterlife. Since Minato died when Naruto was a baby, fanfictions often explore their relationship in a spiritual realm.