In terms of his romantic relationships, if there was a budding relationship with Hinata, for instance, his new status as a jounin could either strengthen their bond as she admires his achievement, or it could create some distance as he has more duties and less time for personal matters.
If Naruto becomes a Jounin early in fanfiction, his relationship with his peers might change. They could look up to him more, seeing him as a role model. His friends like Sasuke might be a bit jealous at first but would also be proud. His relationship with his teachers could shift as he is now closer to their rank.
Naruto's relationship with the younger generation would be very different. As a Jounin, he would be a role model. The kids in the village would look up to him even more. He could inspire them to work hard. His relationship with Hinata might also evolve. Maybe he would finally have more time to focus on their relationship now that he has achieved a higher rank and more stability in his ninja career.
His relationship with his old friends like Sasuke would likely become more of an equal partnership. Since they are both highly skilled, they could collaborate on important missions. With Sakura, he might be seen as more of a respected colleague, and she could look up to him in a different way as a Jounin.
With his friends, he would still be close, but there would be a new level of respect. They would see him as a more experienced and powerful shinobi. For example, Sasuke might have a different kind of rivalry with him, one that is more about mutual growth at the Jounin level rather than just power struggles. Naruto's leadership skills would also be more prominent in group situations, which could change the dynamics of his relationships with his friends.
Naruto's relationship with his students, if he has any as a Jounin, would be very important. He would be a mentor figure. He would have to be strict but also kind, just like Kakashi was to him. He would pass on his values and ninja techniques. His relationship with the Hokage would also be different. He would be closer to being an equal, having more say in important decisions regarding the village's security and future.
Naruto's strong sense of justice and his unwavering determination to protect the village could also play a role. He has shown time and again that he would sacrifice anything for Konoha. His moral compass and his courage in the face of danger could be seen as qualities befitting a Jounin, even at a young age.
Maybe Naruto has some secret training that accelerates his progress. For example, he could have found an ancient scroll or received special guidance from a hermit - like figure. This extra training gives him an edge over others, allowing him to meet the requirements for jounin at a young age.
With his friends in Konoha, like Sakura and Kakashi, there would be a major shift. Sakura might initially be conflicted between her loyalty to the village and her friendship with Naruto. Kakashi, being a more experienced shinobi, might understand Naruto's reasons better but still be bound by his duties to the village. Overall, Naruto's departure as a nukenin would create a lot of emotional turmoil among his relationships.
If Naruto becomes cold, his relationship with Hinata would be severely affected. Hinata, who loves him for his warm heart, might be at a loss. Naruto might start to push her away, not allowing her to get close. His friends from Team 7 might try to bring back the old Naruto, but his coldness would create a rift between them.
His relationship with Sasuke would be very different. Instead of being a peer trying to bring Sasuke back, he'd be more like an older figure. He might be someone Sasuke looks up to or even fears because of his power and knowledge at that age. Naruto would also have a different relationship with Kakashi. He'd probably be more of an equal to Kakashi in terms of combat ability and strategic thinking.