They could start by mistaking each other for enemies. For instance, when Naruto first meets Yato, he might think Yato is some kind of new - type of ninja using strange powers. Yato, on the other hand, could be confused by Naruto's strange appearance and chakra. But then they realize they have a common goal, like protecting innocent people.
The characters could also interact through a mutual acquaintance. Maybe Hiyori from Noragami knows someone who has knowledge of other worlds and she brings Naruto and Yato together. Once together, they start to exchange stories about their respective worlds. Naruto tells about the shinobi world and its wars, and Yato shares tales of the gods and ayakashi.
One way for them to interact is through a power - exchange situation. Since Naruto has a vast amount of chakra and Yato has his godly powers, they could find a way to combine or transfer their powers for a short time. This could be in a very dangerous situation where they need to defeat a super - strong foe that neither of them could handle alone. For example, Naruto gives Yato some of his chakra to boost Yato's weapon - creating ability, and Yato in return gives Naruto a temporary divine power boost to his Rasengan or some other jutsu.
In the Noragami universe, there's no indication that the characters themselves watch fanfiction. Fanfiction is a creation by the fans for the fans in our world, not something that exists within the fictional world of Noragami for the characters to access.
One common theme is the exploration of different power systems. Since both Naruto and Noragami have their own unique power structures, fanfictions often play around with how these powers interact or contrast. For example, Naruto's chakra system and Noragami's divine powers.
At the start of their interaction in the fanfiction, Batgirl would approach Naruto with a sense of wariness. But Naruto's infectious energy would soon break down that barrier. They would communicate about their different worlds, with Naruto trying to understand the concept of a city like Gotham without ninjas. Batgirl would be fascinated by the chakra system. In combat, they would have to learn each other's fighting styles quickly. Naruto might dash in headfirst, while Batgirl would be more strategic. They would need to find a balance, and through their interactions, they would develop a mutual respect. Naruto would learn from Batgirl's discipline and Batgirl would be inspired by Naruto's ability to bring out the best in people around him.
At first, there could be some misunderstandings. Naruto might mistake Ahsoka's Jedi calm for arrogance, and Ahsoka might find Naruto's boisterousness a bit much. But as they spend time together, they'd realize they have a lot in common. Both are strong - willed fighters dedicated to protecting their worlds. They'd start to learn from each other. Naruto could learn about patience from Ahsoka, and Ahsoka could pick up on Naruto's never - give - up attitude. They might even have some friendly sparring matches that help them understand each other better.
They could interact in a more comical way at first. For example, Naruto might mistake Weiss' refined mannerisms for being stuck - up. Weiss, in turn, could find Naruto's loud and boisterous nature a bit much. But as they face challenges together, like fighting a group of Grimm or rogue ninjas, they start to understand and respect each other. Naruto might share his dreams of becoming Hokage with Weiss, and Weiss could open up about her family and her own goals in life.
They could interact through combat. For instance, they might start off as opponents, not understanding each other's ways, but as the fight progresses, they start to respect each other's skills.
Naruto would probably be his usual energetic self, trying to figure out who Rosalina is. Rosalina, being a more calm and mysterious character, would be a bit reserved at first. But Naruto's positive attitude might make her open up. They could start by just sharing their stories, Naruto about his ninja training and Rosalina about her duties in the cosmos.
They could interact through combat at first. Naruto might mistake Widowmaker for an enemy due to her being an assassin. He could quickly dodge her sniper shots with his speed. Then, they could start to communicate, with Naruto trying to figure out who she is and why she's attacking. Widowmaker, on the other hand, might be intrigued by Naruto's strange abilities.
Naruto could be initially scared of Zombina because of her zombie appearance but then realize she's not all that bad. They could start by just having simple conversations, like Naruto asking Zombina about her life before becoming a zombie. And Zombina could be interested in Naruto's dreams of becoming Hokage.
Naruto, being a very outgoing and friendly person, would probably approach Candace with enthusiasm. He might be curious about her world and the things she does. Candace, on the other hand, might be a bit cautious at first, but Naruto's positive energy would likely draw her in. They could start by sharing stories about their daily lives. For example, Naruto would talk about his training and missions, and Candace would talk about trying to keep her brothers in line.