With Kakashi, Kakashi would be extremely worried. He would probably try to find a way to get Naruto out of Akatsuki without causing too much chaos. Naruto, on the other hand, would have to keep his distance from Kakashi to maintain his cover in Akatsuki, which would be a difficult situation for both of them.
Naruto's relationship with Kisame might become an interesting one. At first, Kisame would likely be very suspicious of Naruto. But as time goes on, Naruto's determination and strength could earn Kisame's respect. With Itachi there, he might be more open - minded towards Naruto. As for Kakuzu, Naruto would probably constantly clash with him due to Kakuzu's money - loving nature. Naruto would try to convince him that there are more important things than wealth. And with Sasori, Naruto would be horrified by Sasori's use of human puppets and would try to make him see the value of human life.
His relationship with Sasuke would be extremely complex. Sasuke, who has his own vendetta against the shinobi world, might initially be suspicious of Naruto's new role. But Naruto, as the Akatsuki leader, would try to convince Sasuke to join him in his new vision for the organization. It could be a love - hate relationship where they constantly butt heads but also understand each other on a deeper level.
His relationship with Sasuke would be drastically different. Instead of being rivals from the Leaf Village, they could be on opposite sides. Sasuke might see Naruto as a traitor to the Leaf and Naruto might see Sasuke as someone who doesn't understand the Akatsuki's motives. With Sakura, Naruto might not have the same protective feelings. He could view her as just another ninja from a village that the Akatsuki has issues with.
His relationships with his old friends in the Hidden Leaf would become extremely strained. They would see him as a traitor. For example, Sakura might be heartbroken and angry at him. Kakashi would be disappointed. However, within Akatsuki, he could form new relationships. He might become friends with some of the members who have a similar background of being misunderstood. For instance, he could bond with Hidan over their strong beliefs, though their beliefs are very different in nature.
His relationship with Sasuke would be interesting. Sasuke might be a bit confused or even annoyed at first. He's used to Naruto being his own energetic self, and now Naruto is acting like Kakashi. Sasuke might see it as Naruto trying to be something he's not. But over time, he could come to respect Naruto's new - found admiration for Kakashi and see it as Naruto growing as a ninja.
With Sasuke, Naruto's parents being alive could lead to a more positive influence on Sasuke. Naruto might be more stable and happy, and this could rub off on Sasuke. They could become closer friends earlier, and Naruto could help Sasuke deal with his family issues in a different way. Maybe Naruto's family could even offer some support to Sasuke after the Uchiha massacre didn't happen.
Naruto would probably try to befriend most of the Akatsuki members. His friendly nature would make him reach out to them. He might have a tough time with some of the more cold - hearted ones like Hidan, but could potentially find common ground with Kakuzu as they both understand the value of money in a way. Sasuke, on the other hand, would be more aloof. He would likely respect the power of some members like Itachi, but would be wary of others. His relationship with Pain would be complex, as they both have strong leadership qualities and different visions for the world.
Naruto joining Akatsuki in fanfiction would turn his relationships upside down. His friends in the Leaf would initially feel betrayed. However, some might start to question if there's more to Naruto's decision. His relationship with Akatsuki members would be a mix. He'd be constantly in a tug - of - war with Itachi, who has his own plans regarding Naruto. And his interactions with Pain would be intense, as Pain represents a very different ideology from Naruto's. Naruto would have to struggle to find common ground or at least a way to coexist with these new 'comrades' while still holding onto his own values.
His relationship with Sasuke would become even more complex. Sasuke might be suspicious of Naruto's motives for joining Akatsuki, thinking he has truly turned to the 'dark side'. Or, they could end up on opposite sides of a conflict within Akatsuki itself if their goals within the organization differ.
If Naruto was trained by the Akatsuki in fanfiction, his relationships would be completely transformed. For starters, his relationship with Kakashi would be strained. Kakashi has always been Naruto's mentor in a way, and seeing Naruto side with the Akatsuki would be a shock. His friends like Sakura and Shikamaru would also be confused and probably try to bring him back to the 'right side'. And his relationship with the villagers of Konoha would turn sour as they would fear his new - found Akatsuki - related powers.