Naruto arriving in the DBZ universe in a fanfiction would be a wild ride. He'd probably have to adjust to the different rules of combat. The Z - Fighters might be curious about his shadow clones and how he can create so many of them. Naruto could also be a bit shocked by the destruction caused by the battles in DBZ. He might try to find a more peaceful solution to conflicts, like he does in his own world. And perhaps his positive attitude would rub off on some of the more hot - headed DBZ characters.
In some fanfictions, Naruto might face new challenges in Kumo. He could encounter different ninja with unique jutsus. Maybe he has to prove himself all over again in this new village environment.
In some fanfictions, Naruto might go to Orochimaru seeking power. He could be tempted by Orochimaru's knowledge of jutsu. Maybe he thinks that by learning from Orochimaru, he can become stronger faster and be better able to protect his friends and the village.
He might struggle at first with the academic part. Naruto is used to physical challenges in his ninja world. College courses like math or literature could be really tough for him. But his determination would probably make him study hard and gradually improve.
Well, Naruto going to Anbu in fanfiction could mean a whole new set of character developments. He might struggle with the secrecy and lack of recognition that comes with Anbu work. His relationships with his friends could also be strained as he has to keep his Anbu activities under wraps. And he'd probably meet some really tough opponents that test his limits in ways he hasn't experienced before.
In this fanfiction, Naruto might see a world where his friends' dreams have fully come true. For example, Sasuke could have achieved true peace in the ninja world in his own way. And Konoha might have advanced in technology, with new kinds of jutsus being developed that combine the old and the new.
If Naruto goes to Beacon in a fanfiction, he could form interesting friendships. He's so full of energy and determination. He'd probably bond with the more energetic students at Beacon. His rasengan could be a really cool and powerful move that no one at Beacon has seen before, and it could be a great addition to the battles there.
One possibility is that Naruto goes to Whirlpool to seek some sort of power or knowledge. He could stumble upon ancient scrolls or training methods that are specific to the Whirlpool region. He may also find himself in a situation where he has to protect the people of Whirlpool from an external threat, like a group of rogue ninjas or a powerful demon.
In fanfiction, Naruto could end up at a ninja academy in America. He would try to teach the American students his ninja skills, like the Shadow Clone Jutsu. But he'd also learn about American fighting styles in return.
Well, he might end up joining a guild. Maybe he'll use his ninja skills in the magical battles of Fiore. He could form new friendships with the mages there.
In this fanfiction, Naruto might meet new friends in Uzu. He could discover unique jutsus or cultural elements specific to Uzu. Maybe he'll face some challenges there that are different from what he's used to in Konoha.