Naruto might be extremely heartbroken. He has always looked up to his mother, and being disowned by her would be a huge blow. He could become withdrawn and start to question his own worth.
It could also be due to some external influence. Perhaps an enemy used some kind of mind - control or manipulation on Kushina. They made her think that Naruto was a threat, so she decided to disown him. In the Naruto universe, there are many powerful villains who could potentially do this kind of thing.
In many Naruto fanfictions where Naruto meets Kushina and Minato, it often creates a very emotional scenario. Naruto finally gets to meet his parents who he has only heard about. It could be a heart - warming reunion where they share stories, hugs, and Minato and Kushina get to see how far Naruto has come.
On a more personal level, they could face internal guilt. As Naruto grows up and achieves great things on his own despite their neglect, Minato and Kushina may realize what they've missed out on. This realization could cause them a great deal of internal turmoil and regret for not being there for their son when he needed them.
At first, Naruto and Kushina might start to distance themselves from Minato. They could avoid him and not talk to him as much. As time goes on, the hatred might grow deeper. Naruto could start to oppose Minato in public or in important village matters. Kushina might also try to influence others in the village against Minato.
In many Naruto fanfictions, Minato is often portrayed as an even more brilliant strategist and a loving husband. He might be shown using his Hiraishin no Jutsu in creative ways to protect Kushina. For example, in some stories, he uses it to surprise her with little gifts or to show up just in time when she's in danger.
A fanfiction could center around a family training session. Minato trains Naruto in advanced ninjutsu techniques while Kushina teaches him about the Uzumaki clan's secrets. This would not only strengthen their family bond but also make Naruto an even more powerful ninja.
Well, I really like 'The Uzumaki Trio'. In this fanfiction, it shows the strong family unit of Kushina, Minato, and Naruto. It has great character development and some really touching moments. 'Minato's Promise' is also good. It's about Minato making a promise to Kushina before his death and how Naruto discovers this later. And 'Kushina's Strength' is a fanfic that emphasizes Kushina's power and how she and Minato complement each other.
In a fanfiction, perhaps Minato and Kushina are resurrected during a powerful enemy attack on the village. Naruto is in the middle of the battle when he suddenly sees his parents. At first, he can't believe it. Kushina runs to hug him tightly, while Minato stands there with a proud look. They then join the fight together, using their combined skills to defeat the enemy and have a moment of family reunion.
Fanfiction about Naruto being abandoned by Minato and Kushina can also be a way to explore different power - up scenarios. Since he doesn't have the emotional support from his parents, he might be forced to seek power in other ways, which could lead to a Naruto with a very different set of skills and abilities compared to the original series.