Yes, there are likely fanfictions with this concept. Fanfiction writers often come up with wild and creative ideas, and this one is quite out - of - the - box. However, in the original Naruto series, Naruto has no relation to Orochimaru in this way.
In most Naruto fanfiction, the idea of Naruto being Orochimaru's son is a very creative and out - of - the - box concept. However, in the original Naruto series, there is no such relation at all. Naruto is the son of Minato Namikaze and Kushina Uzumaki. Fanfiction writers might come up with this idea to explore different character dynamics and storylines that deviate from the canon.
In fanfiction, if Naruto were Orochimaru's son, he would likely have access to different types of jutsu from the start. Orochimaru is known for his vast knowledge of forbidden jutsu. Naruto could inherit some of that knowledge or even some of Orochimaru's unique abilities. His training would be radically different, perhaps more focused on experimentation and the pursuit of immortality like Orochimaru. This would also put him at odds with many of the traditional ninja values in the Hidden Leaf Village.
It would be really strange. Naruto is known for his positive and sunny personality, while Orochimaru is dark and devious. A fanfiction might explore how Naruto would struggle with his father's bad reputation. Maybe Naruto would try to change Orochimaru's ways or be conflicted about his own identity.
One possible plot could be that Naruto, as Orochimaru's son, struggles with his identity. He might have Orochimaru's scientific genius but also Naruto's determination. He could be shunned by the village at first due to Orochimaru's bad reputation. But then, he uses his unique skills to prove himself, perhaps by developing new jutsu that combines Orochimaru's snake - related techniques with Naruto's own chakra - based powers.
Naruto would likely be more cunning. Since Orochimaru is known for his devious ways, Naruto might inherit some of that. He could be more calculating in battles rather than just relying on brute force. However, he would still have his core of kindness. So, it would be an interesting mix of Orochimaru's slyness and Naruto's big - heartedness.
Well, perhaps the OC son of Orochimaru could be in a situation where he is forced to choose between following his father's evil ways or siding with the ninja world to stop Orochimaru once and for all. He could have a unique ability, say, the power to communicate with all kinds of snakes and use this to his advantage in battles or in diplomatic situations. He might also meet some old enemies of Orochimaru who initially distrust him but then come to see his potential for good.
One way to develop the character is through his growth in power and skills. He could start with basic snake - related abilities inherited from Orochimaru. As the story progresses, he could learn from his mistakes in using these powers. For instance, if he accidentally harms someone with a snake jutsu at first, he could then focus on controlling the power more precisely. He could also study other ninja arts to expand his capabilities and in the process, develop his character as someone who is not just defined by his father but by his own choices and efforts.
There could be a conflict between Harry and the existing wizarding order. The Ministry of Magic might view Harry as a threat because of his connection to Orochimaru. They would be worried that he might bring dark magic into the wizarding world. Harry would then have to fight against the prejudice and suspicion of the wizarding community, while also trying to figure out his own identity and loyalties.
In some fanfictions, Orochimaru might develop a sense of loyalty towards Naruto. After being around Naruto for a while, he could see Naruto as someone worthy of his loyalty. This could lead to him being more open to working with the Hidden Leaf and helping Naruto in his various missions. He might even sacrifice his own interests to protect Naruto at times, which is a complete turnaround from his initial character.