Naruto emotionally damaged fanfic can explore character development in multiple ways. First, by highlighting his insecurities and how he overcomes them. For instance, if he's emotionally damaged due to his status as a Jinchuriki, he may start to accept himself more fully. Second, the relationships he forms while dealing with his emotional damage can also be a factor. If he meets someone who understands his pain, it could change his view of the world and himself. And finally, his reactions to new challenges in the midst of his emotional turmoil can show his growth, whether it's learning new jutsu or handling political situations differently.
Well, these fanfics can explore character development by delving into Naruto's past traumas. Say he was bullied as a child in the fanfic. As he faces these old emotional wounds, he could learn to forgive or find new ways to interact with others. It might also make him more cautious or more open - minded depending on how he deals with it. This all shows his development as a character.