Maybe Naruto is put in a situation where he feels that Hiruzen's way of handling things is the best option. For instance, if there is a major crisis in the village that requires a more traditional and experienced approach, Naruto might choose to act like Hiruzen. Also, he could be influenced by the stories he has heard about Hiruzen and wants to fill his shoes in a way.
Perhaps in this fanfiction, Naruto has some sort of special power or transformation that he unlocks just in time to face Orochimaru. It could be related to his Nine - Tails chakra in a new and unique way. He uses this power to break through Orochimaru's defenses and save Hiruzen. Naruto might also use his knowledge of Orochimaru's weaknesses that he has learned either from Jiraiya or from his own past encounters with Orochimaru's minions.
There are quite a few. One such fanfic is 'The Mentor's Wisdom' where Hiruzen imparts his knowledge and skills to Naruto in a detailed and engaging way.
Well, it could be about Hiruzen teaching Naruto all kinds of ninja skills from a young age. Maybe he also imparts wisdom and values to Naruto, which makes Naruto grow into a very different ninja compared to the original story. For example, Naruto might be more composed and less of a troublemaker in the village at first because of Hiruzen's strict yet loving upbringing.
One possible plot is that Hiruzen discovers a plot against Naruto by some anti - Uzumaki forces. He then uses his combat skills and his network of spies to stop the threat before it reaches Naruto. He might also place some of his most trusted shinobi to guard Naruto at all times.
Perhaps there are some shinobi within the village who are jealous of Naruto's potential. They might try to harm Naruto in secret, and Hiruzen has to be vigilant against them. These shinobi could be from clans that have rivalries with the Uzumaki or those who just don't want a new powerful force emerging in the village.
Naruto might be more knowledgeable about the history and politics of the village. Hiruzen, being the Hokage, would surely educate Naruto on such matters. This would make Naruto more diplomatic and better able to handle complex village - related issues. He would also be more respectful of traditions and the hierarchy within the village, having been raised by the village's leader.
In the fanfic, Hiruzen could train Naruto in stealth and intelligence - gathering techniques. Naruto is often portrayed as a straightforward fighter in the original series. But with Hiruzen's training, he could become a more well - rounded ninja. He might learn how to infiltrate enemy bases, gather crucial information, and use that knowledge to outwit his opponents. This would add a new dimension to Naruto's character and his abilities in battles.
Well, Naruto might start showing more wisdom like Hiruzen. He could become more diplomatic in handling situations. For example, when dealing with disputes among the villagers, instead of his usual impulsive reactions, he would think more like Hiruzen, considering the long - term effects on the village as a whole.
Naruto would become more well - rounded. With Hiruzen's training, he'd gain more discipline. In the original, Naruto was a bit of a wild card. But under Hiruzen, he'd learn to control his impulses better. For example, in battles, he'd think more strategically instead of just charging in.