In the fanfic, Hiashi could be in a life - threatening situation during a natural disaster. Naruto, with his quick thinking and powerful jutsu, could save Hiashi. For instance, if there is a huge flood, Naruto could use his water - walking jutsu to reach Hiashi and then use his strength to carry him to safety.
Maybe Hiashi is poisoned, and Naruto has to find an antidote. He could go on a journey to find a rare herb or seek the help of a medical ninja. Along the way, he might face various obstacles, but his will to save Hiashi would keep him going. He could also use his connection with the Nine - Tails' chakra to boost his search or fight against any threats.
In this fanfic, Naruto might save Hiashi in a battle situation. Maybe Hiashi is facing a powerful enemy that he can't handle alone, and Naruto steps in with his strong ninja skills. For example, if Hiashi is being attacked by a group of rogue ninjas, Naruto could use his Rasengan to fend them off.
Perhaps in this fanfiction, Naruto meets Hiashi during a time of crisis in the Hidden Leaf Village. Hiashi, being an elder and a respected figure, is involved in the village's defense plans. Naruto, eager to help, wants to be part of the action. Hiashi initially doubts Naruto's abilities but is soon proven wrong. They then work side by side, with Naruto's Uzumaki chakra and Hiashi's Hyuga skills combining to create a powerful defense against the enemy.
Perhaps Naruto is transported to Rias' world through some sort of magical or dimensional rift. He then stumbles upon Rias in a dire situation and uses his ninjutsu like the Flying Raijin to quickly reach her and get her out of harm's way. This would be an exciting start to their interaction in the fanfic.
Naruto asking for Hiashi's blessing in a fanfiction could lead to a whole range of scenarios. Firstly, Naruto might approach Hiashi with a lot of respect but also his usual bravado. Hiashi, being the head of the Hyuga clan, would have his own concerns. He might worry about how the other clans would react to a union between Naruto and a Hyuga. However, Naruto could counter this by talking about his dream of uniting the ninja world. His relationship with Hinata could be presented as a symbol of that unity. And as Naruto shows his understanding of the importance of family and clan, Hiashi could gradually come around and give his blessing.
Maybe in the fanfic, there is a dark force that tries to manipulate Hiashi into attacking Naruto. The fanfic could explore how Naruto tries to reach out to Hiashi, to show him that they are being played. Along the way, they have an intense battle where Naruto shows off his new jutsus and Hiashi uses his clan's most secret techniques. In the end, they realize they were on the same side all along.
One possible reason could be that Naruto is in love with a Hyuga clan member. Since Hiashi is the head of the Hyuga clan, Naruto might think it's proper to ask for his blessing. For example, if he has feelings for Hinata, Hiashi's daughter. Hiashi's approval would mean a lot in terms of family and clan acceptance.
One possible motive could be a misunderstanding. Maybe Hiashi mistakes Naruto for an enemy who has infiltrated the village in disguise. Another reason could be related to clan politics. If Naruto somehow gets involved in a situation that threatens Hiashi's clan interests, Hiashi might take extreme measures.
One possibility is that Naruto uses his Shadow Clone Jutsu to create distractions while he rescues Pyrrha from a trap. Since he's so good at this jutsu, he can easily outwit the bad guys. Pyrrha, on the other hand, might be able to assist Naruto once she's free, using her weapon skills.
Perhaps Naruto saves Shisui from a group of rogue ninjas. He uses his speed and agility, enhanced by his training with Jiraiya, to quickly reach Shisui. His Nine - Tails chakra could also flare up, intimidating the enemies and giving him the power to fight them off.
One possibility is that Anko is poisoned during a mission. Naruto, having learned some medical ninjutsu from Tsunade, uses his skills to find an antidote and save her. He might have to search far and wide, facing various challenges along the way.