If Naruto wasn't from Konoha, his relationship with Sasuke would be very different. Without the Konoha - based rivalry and the shared history of the village, they might not have the intense bond - turned - rivalry that they have in the original story. They could be more like strangers who meet later in life.
His relationship with Sakura would also change. In Konoha, Sakura was part of Naruto's daily life in the village. Without that, Naruto might not have any particular feelings for her at first. And Sakura might not have initially looked down on Naruto as she did in the original story.
His relationship with Sasuke would likely become more strained. Since Sasuke has his own complex feelings about Konoha, if Naruto is sick of it too, they might not see eye - to - eye on how to deal with the situation. Their bond which was once about protecting the village could be broken.
His relationship with Sasuke would likely be greatly affected. Sasuke might feel a sense of betrayal or confusion. He may be torn between his loyalty to Konoha and his bond with Naruto. For Sakura, she might initially be in shock but then could try to find a way to bring Naruto back. With Kakashi, he would probably be conflicted. He has trained Naruto and has a certain level of loyalty to Konoha. His relationship with Naruto would become strained as he tries to balance his duties to the village and his feelings for his student.
His relationship with Sasuke would be severely affected. If Naruto is betrayed by Konoha and joins Kumo, Sasuke might see it as a sign of weakness or a wrong decision. Their rivalry could turn into something more complex, with Sasuke perhaps trying to bring Naruto back to Konoha or seeing him as an enemy. With his friends in Konoha like Sakura, there would be a lot of heartache. They might not understand his decision at first, but over time, some might come to realize the reasons behind it.
With his family - like figures in Konoha, such as Iruka, the relationship would be put to the test. Iruka would probably be heartbroken but also hope that Naruto is doing what he thinks is right. In Iwa, Naruto might find a new mentor - like figure who could teach him different things compared to what he learned in Konoha. This new relationship could shape his ninja path in a whole new way.
His departure would definitely put a strain on his relationships. His close friends like Sasuke, if he is back in Konoha at that time, would have mixed feelings. They might worry about Naruto but also be a bit angry that he left without consulting them. Naruto's younger friends like Boruto would be confused and miss him a great deal, and this could lead to some distance in their relationships.
It would create a sense of panic. Naruto is a very important figure in Konoha. His strength has been crucial in protecting the village. Without him, the villagers would fear attacks from other villages or threats from the Akatsuki. For instance, if the Akatsuki knew Naruto had left Konoha, they would likely see it as an opportunity to capture him more easily.
His relationships would become very complex. His friends in Konoha would be in shock. Naruto leaving Konoha for Kumo is like a slap in the face to them. They would wonder what drove him to such a decision. For example, Naruto had such a strong bond with Iruka - his first mentor. Iruka would be deeply saddened and would question if he had failed Naruto in some way. And Naruto's relationship with Kakashi would also take a hit. Kakashi would be worried about what this means for the future and how it could potentially lead to conflict between Konoha and Kumo.
His relationship with Sasuke could be less competitive at first. Since Naruto has already lived through their intense rivalry, he might approach Sasuke in a more friendly and understanding way as a kid. He could try to prevent Sasuke from having some of the negative feelings that led to his later actions.
In a time travel fanfiction, Naruto's ability to sense danger might be sharper as he knows the big events that are supposed to happen. He could also train his Rasengan in new ways based on his future experiences. Sakura might be able to use her strength in a more controlled manner, having seen the consequences of over - using or under - using it in the future. Shikamaru could have an edge in planning battles because he's aware of different fighting styles from the future. Choji could find new ways to boost his strength using the knowledge he has of future food combinations that enhance chakra. And Ino could use her mind - transfer jutsu more precisely, having learned from future mistakes.
His relationship with Sasuke would be very different. Since Naruto is raised by ANBU, he might be more competitive with Sasuke in a cold, calculating way. Instead of the friendly rivalry in the original, it could be a more intense battle of skills. Naruto might not be as open to befriending Sasuke, seeing him as a potential threat to his own goals and the secrets he has been taught by the ANBU.