It might also develop through Naruto's actions instead of his words. Since he can't talk, he would have to rely on gestures and facial expressions more. His friends would start to learn to read these signs, and this new form of communication could create unique and interesting interactions. For example, Naruto might use hand signs not just for jutsu but also to convey simple messages like 'yes' or 'no'.
The plot could take a darker turn. Without Naruto's communication, misunderstandings could easily arise. Enemies might take advantage of his silence and spread false rumors about him being under some kind of evil influence. This would lead to a situation where Naruto has to prove his innocence without being able to speak for himself, adding a lot of tension and drama to the fanfiction.
The plot could develop through the reactions of other characters. They would be confused and concerned about Naruto's silence, which could lead to them trying different ways to reach out to him. For instance, Sakura might use her medical ninjutsu to check if there's any physical reason for his silence.