He would likely be more confident. Since he grew up without parents in the original story, saving them would give him a sense of security and a more stable family background. This could make him less impulsive in his actions as he wouldn't have the same insecurities driving him.
In Naruto fanfiction where Naruto saves his parents, one way could be through time - travel. Maybe he discovers a jutsu that allows him to go back in time. He could then use his knowledge of future events and his already - developed skills to prevent their deaths. For example, he might be able to stop the Nine - Tails attack on the village that led to his parents' sacrifice.
In this fanfiction, Naruto might be completely shocked at first. He could finally get the family love he always yearned for. His parents would be able to see how strong he has become and be proud of him.
In many such fanfictions, Naruto and Hinata might be sent back in time through some magical or jutsu - related means. Once they meet their parents, it could be a very emotional moment. Naruto might see his father Minato and mother Kushina, and Hinata could meet her father Hiashi. They could learn a lot about their families' pasts and perhaps even change some things for the better in the timeline.
His friends might notice a new sense of confidence in Naruto. Since he has met his parents, he may feel more complete and this could reflect in his interactions with friends. He might be more self - assured and a better leader.
Yes, it is possible in fanfiction. Fanfiction writers often explore 'what - if' scenarios. They could imagine a scenario where Batman has some sort of precognitive ability that he didn't know about before. With this ability, he could foresee the attack on his parents and stop it. This would create a whole new narrative for Batman, where his origin story is completely rewritten and his relationships with other characters in the Batman universe would also be different.
One possible scenario in this fanfiction could be that female Naruto, with her knowledge of future events, is able to prevent Minato's death. Maybe she uses her skills and the element of surprise to change the course of the battle where Minato was supposed to sacrifice himself. She could also have some unique abilities or jutsu that she uses to outwit the enemies and keep Minato alive.
In some fanfictions, Naruto might save Obito during time travel by using his strong will and the power of friendship. Naruto could convince Obito to change his ways before he goes too far into the dark side. He might show Obito the future of the village and how his actions are causing more harm than good.
One popular plot twist is that Naruto's parents are actually alive but in a hidden dimension. Naruto discovers this accidentally. Maybe he's on a mission and stumbles upon a strange portal. When he enters, he finds his parents who were trapped there by an unknown enemy. He then has to fight this enemy to free his parents and bring them back to the real world.
One popular plot could be Naruto using his knowledge of future events to prevent Rin's death. For example, he might stop her from being in the wrong place at the wrong time. Another plot could involve Naruto teaming up with past versions of his friends to protect Rin. He could use his advanced jutsu skills that he has learned in his own time to fend off the threats.