One idea could be that Naruto has parents who are powerful shinobi from a different village, like his father could be from the Sand Village and his mother from the Mist Village. This would change his upbringing completely, as he'd be exposed to different cultures and jutsu styles from a young age.
If his parents were strict disciplinarians from a traditional ninja clan, Naruto might be more reserved and less of a prankster. He'd be more focused on following the clan's rules and traditions, and his drive to become Hokage could be more about upholding the family's honor.
If Naruto had different parents in fanfiction, the story could change drastically. For example, if his parents were powerful villains, Naruto might grow up with a different set of values. He could be more ruthless or have a darker view of the ninja world. His relationships with characters like Sasuke and Sakura would also be different. Instead of being an outcast because of the Nine - Tails, he might be shunned for his parents' actions.
He would be more confident. Growing up with his parents' love and presence would mean he doesn't have to constantly seek validation. So he might be less brash and more self - assured from the start.
One possible storyline could be that Naruto grows up with his parents' love and training. He might become an even more powerful ninja at a younger age. Since Minato was a prodigy and Kushina had strong chakra, they could pass on their skills and knowledge early. Naruto could also have a different personality, more confident and less of an outcast as he has a loving family from the start.
In this fanfiction, Naruto finds himself in a parallel universe where his parents are not only alive but also play a significant role in his life. There are new adventures and challenges as he navigates this changed reality.
Well, in fanfiction, anything can happen. Maybe Naruto has some sort of super - ninjutsu that can cross dimensions and time. He could use chakra in a unique way to bring back the dead. For example, he might find a way to access the same magic or energy that created the Lazarus Pit in Batman's universe and use his own ninja skills to manipulate it for resurrection.
The relationship would be very different. Instead of being an orphan, Naruto would have his parents around for all the important moments in his life. Minato could teach him about being a Hokage from an early age, and Kushina could give him the motherly love and advice. There would be a strong family bond. Naruto would be more confident in his abilities because he has his father, a great ninja, to guide him. And he would have a more stable emotional state with his mother's care.
Naruto and Tsunade's regular relationship is mainly based on respect and their shared role in the village. But as parents, they'd have a deeper emotional bond. Naruto would rely on Tsunade's more experienced wisdom when it comes to handling the baby's health and development. Tsunade would see Naruto's positive energy as an important influence on the baby. They'd also have to deal with the stress of parenting together, which would either strengthen or test their relationship in new ways.
His new family background could be that his parents are from a small, unknown ninja village. They might be expert in some really rare and ancient jutsu. Naruto would then grow up with a different set of traditions and values compared to the original Naruto.