Well, in some fanfictions, Orochimaru might use some forbidden jutsu. He could have combined his knowledge of resurrection techniques with some unique chakra sources. Maybe he found a way to reverse the death process by using the power of the snakes he has a connection with. For example, he could have used the regenerative abilities of the snakes' chakra to bring Naruto back to life.
In certain fanfic concepts, Orochimaru has studied Naruto's body and chakra extensively. He might have found a way to use Naruto's own latent power, like the Nine - Tails' chakra. He could have manipulated it in a way that jump - started Naruto's life force again. Maybe he even created a special clone of Naruto first and then transferred the soul into it, effectively reviving him.
Well, in some versions, Naruto might use his new and improved Rasengan techniques. He could have combined it with his Sage Mode powers to overpower Orochimaru. Maybe he also uses his quick thinking and the element of surprise, since Orochimaru is always so full of his own schemes.
In some fanfics, Naruto might use his new and powerful jutsu that he has mastered over time. Maybe he combines his Sage Mode with the power of the Nine - Tails in a unique way that Orochimaru can't counter. For example, he could use the Nine - Tails' chakra to enhance the range and power of his Sage Mode attacks, and then catch Orochimaru off - guard.
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.
In this kind of fanfiction, Naruto might have used his new and powerful jutsu that he developed secretly. Maybe it was a super - enhanced Rasengan with some special chakra nature added to it, which was strong enough to overpower Orochimaru.
Perhaps Naruto teams up with some unexpected allies. For example, he could convince some of Orochimaru's former henchmen to turn against him. These henchmen could provide valuable information about Orochimaru's lair and the security measures in place. Using this information, Naruto can plan a strategic rescue and save Hinata.
One consequence could be that Naruto has some strange side - effects. Since Orochimaru's methods are often unorthodox, Naruto might have trouble controlling his chakra properly. For example, his chakra could be tainted with some of Orochimaru's dark chakra, making his jutsu less stable.
In some fanfictions, Orochimaru might develop a sense of loyalty towards Naruto. After being around Naruto for a while, he could see Naruto as someone worthy of his loyalty. This could lead to him being more open to working with the Hidden Leaf and helping Naruto in his various missions. He might even sacrifice his own interests to protect Naruto at times, which is a complete turnaround from his initial character.
He survives through his strong will. Naruto has an unwavering determination that refuses to be broken by Orochimaru's experiments. His inner strength and the chakra of the Nine - Tails within him might also play a role in withstanding the physical and mental torture of the experiments.
Yes, in many Naruto fanfictions, Orochimaru does escape various situations. Fanfic authors often play around with the idea of Orochimaru's cunning nature allowing him to slip away from his pursuers, whether it's from Konoha ninjas or other threats. This can add an interesting twist to the story as his escape can lead to new plot developments.
It could develop in a very complex way. Maybe at first, it's full of hostility as Orochimaru has his own dark motives. But as the story progresses, Naruto's positive influence might start to change Orochimaru's perspective a bit.