Gaara could save Naruto by outsmarting the Akatsuki. Since he has experience dealing with tough opponents, he might set up a trap for the Akatsuki members who are after Naruto. He could use the desert terrain to his advantage, luring them into a place where his sand powers are at their peak, and then rescue Naruto when they are distracted.
Well, in many such fanfictions, Gaara might use his sand powers. He could sense Naruto is in danger through his connection to the sand or his own instincts. Then, he'd quickly move in, using his sand to shield Naruto from any attacks by the Akatsuki members, like blocking their jutsu with his powerful sand barriers.
He could use his sand powers to create a barrier between Naruto and Sakura.
One reason is their friendship. Naruto was one of the first people to see Gaara as a person, not a monster. So, Gaara would feel indebted to Naruto and be willing to risk his life. Another reason could be for the sake of the ninja world. Naruto is often seen as a key figure in maintaining peace, and Gaara, as a responsible leader, would understand the importance of saving him.
Naruto's character could develop in terms of his strategic thinking. Since saving Gaara from the Akatsuki is no easy feat, he might have to come up with more complex battle plans. This would show his growth from a brash fighter to a more calculating ninja.
Maybe Sakura is being controlled by some dark force and is about to harm Naruto, so Gaara steps in to save him.
Well, a plot twist might be that Naruto actually gets captured by the Akatsuki while trying to save Gaara. Then, Gaara, in his weakened state, has to find a way to save Naruto instead. This would completely change the dynamic of the story. Or, it could be that the Akatsuki's real target isn't Gaara at all, but Naruto, and they use Gaara as bait. So when Naruto arrives to save Gaara, he walks right into their trap, but then uses his wits and new jutsu to turn the tables on the Akatsuki.
He might use his Sage Mode. In Sage Mode, Naruto has enhanced senses and strength. He can detect the Akatsuki members from a distance and plan his attack accordingly. He'll then quickly approach them and use his taijutsu skills combined with his Sage chakra - enhanced attacks to defeat them and save Fuu.
There could be a fanfiction where Naruto is under some sort of genjutsu (illusion). Gaara, being aware of Naruto's importance, might use his own unique chakra signature or some sand - based technique to disrupt the genjutsu and bring Naruto back to reality. This would require Gaara to have a deep understanding of both genjutsu and Naruto's situation, highlighting their bond in the fanfiction world.
Often, Naruto's status as a hero in the fanfiction world plays a big role. The Kumo ninjas might be a bit intimidated by him. He might start by making a grand entrance, shouting out his intentions to save Hinata. His reputation precedes him. Then he uses his Nine - Tails chakra, which gives him a significant power - up. He uses this enhanced power to fight off the Kumo ninjas who are holding Hinata captive and finally saves her.
Well, in some versions, Naruto might use his powerful jutsu. Maybe he uses his Rasengan to fight off the Kumo ninjas who are after Kushina. He could also use his speed and agility to outmaneuver them and get Kushina to safety.
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.