Well, it could start with Naruto being in a situation where he feels lost about his own path. Then, he starts researching about Minato more deeply. He finds out about Minato's early struggles, how he overcame them, and his great contributions to Konoha. As Naruto delves into Minato's story, he realizes that Minato was a true hero in every sense. This realization makes Naruto look up to Minato, and he decides to incorporate Minato's values into his own ninja way.
Another idea is that Naruto's strong will and determination somehow reach Minato in the past. Minato, inspired by this unseen force which is actually Naruto from the future, finds the strength within himself to overcome a seemingly impossible situation. This could be during the Nine - Tails attack on Konoha, where Naruto's spirit gives Minato the idea to seal the Nine - Tails in a different way that doesn't cost him his life.
A 'Naruto Minato Revived' fanfiction could have a plot where Minato is revived in a time of relative peace. He has to adjust to the new world where his son is a hero. He could start mentoring the younger generation of ninjas in the Leaf Village, sharing his knowledge about sealing techniques and combat strategies. He might also be involved in some political intrigue within the village as some might fear his power or see him as a threat to the new order.
Well, one possibility is that Minato arrives just in time to save Naruto from a powerful enemy like Orochimaru. He could use his Flying Raijin to quickly reach Naruto and then use his other jutsu to fend off the attacker.
One possibility could be that Minato was under some kind of mind - control spell. Maybe an enemy of Konoha managed to manipulate him into thinking that Naruto was in danger by being in the village. So, Minato kidnaps Naruto to take him to what he believes is a safer place. But as the story unfolds, Naruto tries to figure out what's wrong with his father and tries to break the spell on him.
Maybe there's some sort of misunderstanding or a powerful enemy who has framed Naruto. Minato, following the rules of the village, arrests Naruto. As Naruto is in prison, his friends try to find evidence to prove his innocence, and Minato gradually realizes he's made a mistake and starts to help them from the inside.
One possible plot could be Naruto learning unique jutsu from Minato right from the start. Minato could teach Naruto how to use the Flying Thunder God Technique at an early age. This would change Naruto's battles significantly, as he could quickly move around the battlefield and surprise his enemies. He might also learn about Minato's leadership skills and how to handle difficult situations within the village, making him more respected among the villagers much earlier in the story.
Naruto's relationship with the villagers could be affected. As he becomes a Minato fan, he would try to uphold Minato's legacy even more. The villagers, seeing Naruto's newfound admiration for Minato, might start to see Naruto in a new light, more like how they saw Minato. Also, his relationship with Hinata could be different. Naruto might start to model his family - centered values after Minato, which could bring him and Hinata even closer as they plan their own family.
Naruto might become more calm. Minato was a very composed person, and if Naruto becomes like him, he'll lose some of his impulsive nature. For example, instead of rushing into battle head - first all the time, he'll start to think more strategically like Minato did.
The plot could involve Minato being brought back to life or having a vision where he steps into Naruto's shoes. He might feel Naruto's pain from constantly being underestimated because of his status as a Jinchuriki. This could lead to Minato trying to find ways to comfort Naruto from afar, or even influencing the events around Naruto in a supernatural way.
One possible reason could be a misunderstanding. Maybe Naruto is somehow influenced by an enemy's jutsu that makes him see Minato as a threat. For example, if an enemy uses a genjutsu to distort Naruto's perception of his father.