Naruto's character might develop a stronger sense of purpose. Saving Sasuke becomes more than just about their friendship; it could be about righting a wrong in the ninja world. His resolve to save Sasuke would make him train harder and become more strategic in his battles.
One possible scenario could be Naruto arriving just in time as Orochimaru is about to perform a dangerous jutsu on Sasuke. Naruto uses his new Rasengan variant, overpowering Orochimaru and rescuing Sasuke. It would be a very action - packed moment.
In fanfiction, Sasuke might save Sakura from Orochimaru by using his Sharingan. His powerful eyes could detect Orochimaru's moves and counter them, allowing him to rescue Sakura.
In this kind of fanfiction, Itachi might use his powerful Sharingan abilities. He could perhaps create illusions to mislead Orochimaru and his minions, then quickly snatch Sasuke away. For example, he could make Orochimaru think that Sasuke is in a completely different location while he secretly approaches and rescues him.
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.
Well, in the fanfiction, Naruto could save Ino from Sasuke by appealing to Sasuke's former friendship. Naruto might talk to Sasuke, reminding him of their days in Team 7 and how Ino is also their comrade, which makes Sasuke change his mind and let Ino go.
I'm sorry I haven't read a specific fanfiction with this exact plot, but generally in such a scenario, Naruto would probably use his powerful jutsu like Rasengan. He'd sense Hinata in danger from Orochimaru, rush to the scene, and engage in a fierce battle with Orochimaru to rescue Hinata. Maybe he'd also get some help from his friends along the way.
Simple. Naruto is a hero at heart. He can't stand seeing anyone being hurt, especially his friends. Ino is his friend, so he has to save her from Sasuke.
The first key element is Naruto's understanding of Sasuke. He knows Sasuke's past, his pain, and his motives. This understanding allows him to approach Sasuke in a way that can reach him. Second, the role of the ninja world around them. The village's values, the other characters' opinions, all can influence Sasuke's journey. For instance, if the village shows forgiveness and acceptance, it can be a factor in pulling Sasuke back from the dark. And finally, the internal struggle within Sasuke. There's the part of him that wants to be saved by Naruto and the part that is consumed by darkness, and this struggle is central to the fanfiction.