Naruto could use his shadow clones to create distractions. He could make a large number of clones and while the Akatsuki members are dealing with the clones, he could find an opening to escape. Also, he might be able to tap into the power of the Nine - Tails more than ever before in a desperate situation, using its strength to break free from any restraints.
One way Naruto could escape if captured by the Akatsuki in fanfiction is by appealing to the humanity of some of the Akatsuki members. For example, if there are members who are conflicted about their actions, Naruto's words about friendship and hope could sway them to let him go. He could also use his Rasengan in creative ways. Maybe combine it with his newfound Sage Mode techniques to blast his way out of any prison or confinement the Akatsuki has put him in.
If Naruto is captured by the Akatsuki in fanfiction, he could potentially escape by summoning Gamabunta or other powerful toads. The toads could help him fight off the Akatsuki members and create an opportunity for him to flee. Also, Naruto's training with Jiraiya might have given him some knowledge about secret jutsu that could be used to break free from the Akatsuki's capture. He might also get some unexpected help from an unknown source, like a new character introduced in the fanfiction who has a special ability to counter the Akatsuki's powers.
Sasuke could be a likely candidate. Despite their differences, Sasuke and Naruto have a deep connection. He might hear about Naruto's capture and come to his rescue, driven by their past friendship and the rivalry that also binds them.
It could be other villages as well. Since Naruto has made friends and allies from different villages during his adventures. For example, the Sand Village might send some of their ninja to help, considering Naruto's relationship with Gaara.
Well, Naruto might be interrogated for information about the Hidden Leaf. The Akatsuki are always after secrets, especially about the Jinchuriki. So they could be trying to find out more about the Nine - Tails within Naruto.
Well, in the fanfiction, if Naruto is captured by the Akatsuki, they might try to extract the Nine - Tails from him. They could use various cruel methods. But Naruto being Naruto, he would never give in easily. He would keep fighting back with his willpower, trying to find a way to escape or at least cause some trouble for the Akatsuki members while in captivity.
Well, it could go in many directions. For one, the Akatsuki might hold Naruto captive to use him as a bargaining chip against Konoha. They could demand things like the village's secrets or other powerful ninja in exchange for Naruto's life. Or perhaps some members of the Akatsuki would have a change of heart and decide to protect Naruto instead of following their original plan.
Another way is that he forms an unexpected alliance within Iwa. There could be a dissident group in Iwa who oppose the capture of Naruto. They might help him escape in exchange for some future favor or because they believe in Naruto's cause. Naruto has a way of inspiring people, even those who are initially his enemies, so this is a plausible scenario.
Naruto could use his shadow clones to create a diversion. He might make a bunch of clones and have them attack the Akatsuki members in different directions while he tries to find a way out. For example, he could use the chaos to search for a hidden passage or a weak spot in their hideout.
Well, Naruto might escape by using his wits. He could pretend to be compliant with Orochimaru's plans at first, gain Orochimaru's trust a little bit, and then when Orochimaru least expects it, he could make his move. He could also find an ally within Orochimaru's lair. Maybe there's a henchman who has a change of heart and helps Naruto escape. Or, Naruto could discover a weakness in Orochimaru's security system or jutsu that he can exploit to get away.
In a 'Naruto Captured by Akatsuki' fanfic, Naruto might be tortured for information about the Nine - Tails. The Akatsuki are known for their ruthless ways to extract tailed - beast power. They could try to break his spirit and make him cooperate.
In fanfiction, Naruto has a lot of ways to escape from Akatsuki if kidnapped. He could wait for an opportunity when the Akatsuki members are preoccupied with their internal disputes. Since he has a strong bond with his friends in Konoha, they might be on their way to rescue him. Naruto could also use his unique Uzumaki bloodline abilities, like his strong life force, to endure any torture or imprisonment until he finds a way to get out. He might even discover some secrets about the Akatsuki during his captivity that could be used to his advantage.