Naruto's relationship with the village would be different. Since Minato was a hero in Konoha, Naruto got some respect because of his relation to Minato later on. Without that, he might face more discrimination or have to earn respect in a completely different way. Also, his training methods might change as he wouldn't have access to Minato's techniques passed down through family ties.
The story would change a great deal. For one, Naruto wouldn't have the same connection to the Nine - Tails as he does in the original. Minato sealed the Nine - Tails into Naruto, so without that relation, the whole dynamic of the Nine - Tails within Naruto would be different. He might not have the same power - up moments related to the Nine - Tails.
Well, if Naruto was raised by Minato and Kushina, one major change would be his self - esteem. He wouldn't be the outcast he was in the original story. Growing up with his parents, he'd have a strong sense of family and love. He'd probably be more confident in his abilities from the start. Also, his training might be different. Minato could teach him some of his signature jutsu at an earlier age. And Kushina could pass on her strong - willed nature to him more directly.
Well, in such a fanfic, Naruto would probably have a very different personality. He might not be as optimistic. His training might take a different path too. Instead of having the Nine - Tails as a sort of legacy from his father, he could see it as just a curse that was left with him when he was abandoned. His bond with the village might be weaker as he was rejected by the two most important people who were supposed to be from the village in the first place.
If Minato and Kushina abandon Naruto in a fanfic, it could lead to a much darker Naruto. He might grow up more jaded and bitter. Without their love and support, he could be more easily influenced by negative forces. Maybe he'd have a harder time believing in friendship and loyalty, which are such important themes in the original story.
It would be a very emotional change. Naruto has always longed for his parents, so their resurrection would be like a dream come true. However, Minato and Kushina would have to catch up on all the years they missed. They would see Naruto as not only their son but also as a hero in the ninja world. Their relationship would be about rebuilding family bonds and learning to trust and rely on each other again. There could also be some cultural differences as Naruto has been influenced by the current ninja society, while his parents come from an older time.
If they are revived, Naruto's relationship with his parents would be much more complex. He has grown up without them, and now he has to adjust to having them around. Minato and Kushina would also have to get used to the fact that Naruto is no longer the little boy they left behind. Their relationship would be filled with a mix of catching up and learning about each other all over again.
Minato would probably be very proud. He might notice Naruto's use of his own jutsu and be impressed by how Naruto has developed his skills. Kushina would be more emotional, maybe crying at the sight of Naruto growing up so well.
In this fanfiction scenario, Minato would not have the same kind of paternal - like relationship with Naruto. Instead, they could be rivals in love for Kushina's affection. Minato would also have to prove himself not just to Kushina but also to Naruto. Their relationships would be a web of competition, friendship and budding romances. It would be a completely different story from the original, with different power dynamics and emotional entanglements among the three characters.
They would likely feel a sense of pride and interest. Seeing different versions of Naruto's adventures and growth in fanfiction would make them proud of how much their son has inspired the fans.
Naruto would be overjoyed to see his parents. Emotionally, it would give him a great boost. He would finally have the family he always dreamed of having around him.
There's a fanfic called 'Minato's Return'. In this story, Minato somehow returns and gets to see Naruto's growth. It's really interesting to see how he interacts with Kushina, who is also there in the story, and how they both guide Naruto in new ways. The descriptions of their family bond are heartwarming.