Naruto's strong will and connection to his friends could play a big role. His friends might be able to sense that he is in trouble and start looking for him. Meanwhile, Naruto could draw on the strength of his friendships and the memories he has with them to boost his own power. He could then break free from whatever bindings or barriers the Akatsuki have put in place.
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.
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.
She could use her Uzumaki chakra chains to break through any barriers or enemies in their way. Maybe she also has some secret teleportation jutsu that she uses to quickly get away with Naruto.
Naruto could use his shadow clones. He might create a bunch of clones to distract Madara while he finds a way to break free from whatever is binding him. Since Madara is a powerful opponent, Naruto would need to be very strategic with his clone usage.
In some fanfictions, Naruto might use his unique jutsu like the Rasengan. He could use it to break through barriers or fight off Uchiha attackers, creating an opening for his escape.
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.
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.
She might use her intelligence and magic skills. For example, she could create a distraction using a spell like 'Confundo' on her captors and then make a run for it. Hermione is known for her quick thinking, so she could also find a loophole in the security measures set by the Order.
Well, in this fanfiction, it could be that Akatsuki has a change of heart. Some members might realize that Naruto represents a hope for the ninja world in a different way than they initially thought. So they step in to save him when he's in a really tough situation, like being trapped in a powerful jutsu or surrounded by a large number of enemy ninjas. They use their own unique skills, like Kisame's water jutsu or Itachi's Sharingan abilities to fight off the threats.
Another way Naruto could escape is by making an unexpected alliance. There might be other characters in the fanfiction who are also against Obito. Naruto could convince them to help him. For example, if there are some anti - Obito ninjas in the area, Naruto could appeal to their sense of justice and work together with them to escape.
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.