No. Naruto and Orochimaru are antagonists in the Naruto series. Naruto is a heroic character who aims to protect his village, while Orochimaru is a villain with his own dark ambitions. Their relationship is mainly one of opposition, not a pet - owner relationship in the original story or in most mainstream fanfiction.
Naruto would likely win. Godlike Naruto implies he has extraordinary powers. Naruto has strong chakra reserves, and his signature jutsus like Rasengan are extremely powerful. Also, his ability to quickly adapt in battle gives him an edge over Orochimaru.
One of the popular characters paired with Sarutobi is Jiraiya. They are both important figures in the Hidden Leaf and their relationship, whether it's as comrades or as teacher - student in some fanfic interpretations, is always interesting to explore.
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Well, it's somewhat popular. There are those who like to take two very different characters like Naruto and Orochimaru and make them into lovers in fanfiction. The contrast between Naruto's bright and positive nature and Orochimaru's dark and devious ways makes for an interesting dynamic. However, it's not as mainstream as some other fanfiction pairings in the Naruto fandom. But for those who enjoy exploring the more out - there and unorthodox relationships, it can be a really engaging theme.
Obviously Naruto would be one of the main characters interacting with him. Naruto would look up to Sarutobi as a mentor and a source of knowledge. Their interactions could range from training sessions to deep conversations about the future of the village.
Perhaps he uses some ninja techniques like a shadow clone jutsu. He could make multiple clones to help him sort through and complete the paperwork quickly.
He could have the power to instantly heal any injury. His chakra might be so vast that he can create multiple clones without getting tired. Also, he might be able to control the elements in ways that are beyond normal shinobi capabilities.
In short stories about 'fate vs free will', often the characters are caught between what seems predestined and their own desires. Sometimes, characters may initially believe in fate but then realize they can change their path through free will. For example, in some stories, a character is born into a certain social class which is seen as their 'fate', but through their choices and actions (free will), they break free from the limitations of that class.