Well, if Naruto saves Hinata from Orochimaru in a fanfic, it might start with Hinata being captured by Orochimaru's minions. Naruto would immediately go on a rescue mission. He'd probably fight through Orochimaru's various snake - based defenses. And when he finally reaches Hinata, he'd defeat Orochimaru with a powerful Rasengan, and then carry Hinata to safety.
Well, in many fanfictions, Naruto might use his signature jutsus like the Rasengan. He could sense the danger the woman is in using his enhanced ninja senses and then quickly dash in to counter Rizevim's attack with his powerful moves, overpowering Rizevim and rescuing the woman.
Well, Naruto is known for his quick thinking. So perhaps he quickly assesses the situation and uses the surrounding environment to his advantage. For example, if there's a water source nearby, he could use his water jutsu skills (if he has them in that fanfiction) to counter the fireball and save Ami. Or he might even use his body as a shield if it comes down to it, relying on his Uzumaki durability.
Well, in most cases, Naruto might use his signature jutsu like the Rasengan. He could either deflect the fire ball with it or use his incredible speed to get to Ami before the fire ball hits her. Maybe he also uses his shadow clones to create a distraction for the attacker while he rescues Ami.
Well, it could be that Naruto has developed a new and powerful form in the fanfiction. With this form, he emits an intense chakra that scares off the Cloud attackers who are after Hinata. His speed and strength in this new form are so great that he can easily reach Hinata and get her to safety before the Cloud ninjas can react.
In some fanfictions, Naruto might use his new jutsu that he's developed through intense training. He could overpower Kabuto with his Rasengan variations, like the Big Ball Rasengan, and rescue Tsunade while Kabuto is distracted by the powerful attack.
In some fanfictions, Naruto might use his new jutsu skills that he's developed in secret training. He could surprise Neji with a powerful Rasengan variant, overpowering him and rescuing Hinata.
In the fanfiction, Naruto might use his shadow clone jutsu. He could create multiple clones to surround the kidnappers and disorient them. Then, while they are distracted, he could swoop in and rescue Moegei.
In many fanfictions, Kakashi might save Naruto from suicide by using his Sharingan. He could see Naruto's inner turmoil and use his jutsu to snap Naruto out of his dark thoughts. For example, he might use a genjutsu to show Naruto all the people who care about him and how much he means to the village.
Well, in some fanfictions, Fu might use her unique jutsu skills. For example, she could create a powerful barrier to protect Naruto from Sakura if Sakura is somehow being controlled or acting aggressively. Fu's ability to manipulate nature energy could also play a role. She might use it to disorient Sakura or make her lose her focus on Naruto.