Kakashi would be intrigued. He'd probably study Naruto more closely to see how this new influence affects his growth as a ninja. He might also try to find ways to help Naruto blend Kratos - inspired skills with his existing ninja abilities. Kakashi would be open - minded about it, knowing that new sources of inspiration can lead to great power.
Iruka would be a bit worried at first. He'd fear that Naruto was straying from the traditional ninja values. But as he sees Naruto using Kratos' influence in positive ways, like standing up to stronger opponents with new - found courage, he'd come around and support Naruto. He'd realize that Naruto is still the same at heart and is just evolving in his own unique way.
At first, Kratos might see Naruto as a weakling because he doesn't look as physically imposing as the warriors in his world. But when Naruto shows his combat skills and his ability to quickly adapt in battle, Kratos would start to see him as an equal. Naruto would be in awe of Kratos' strength and might try to learn from him. They would have a relationship that grows from mutual suspicion to mutual respect. For example, Naruto could offer his help when Kratos is facing a horde of enemies, and Kratos would in turn protect Naruto when he is in a vulnerable situation.
They could do strength training together. Kratos could teach Naruto some of his combat techniques that rely on pure physical power. Naruto could in turn show Kratos how to use chakra for things like enhanced speed and agility. They might also practice fighting against each other's typical enemies in simulations.
They could interact through combat. Kratos is a very battle - hardened warrior, and Naruto is no slouch either. They could start off as opponents, with Kratos seeing Naruto as a strange and potentially dangerous being in his new world. But as they fight, they come to respect each other's skills.
If Naruto were Kratos' son in a fanfiction, the story could go in many directions. Naruto might have a different view on power. Instead of seeking recognition like he did in the original story, he could be more focused on using his power to right wrongs in a more forceful way. His relationships would also change. For example, his bond with Sasuke could be more of a rivalry based on power, similar to how Kratos has his own rivalries. And his training would be a combination of ninja training and whatever training Kratos would give his son, which might involve more physical and mental endurance challenges.
Sasuke might be initially dismissive but secretly concerned. He would probably keep an eye on Naruto from a distance, not wanting to show too much emotion. Sakura, on the other hand, would be more openly worried and would try to use her medical skills to figure out if there's something physically wrong with Naruto.
His powers would be much more physically dominant. He might not rely so much on ninjutsu but more on brute strength like Kratos. He could have the ability to rip his enemies apart instead of using shadow clones.
In a kratos vs naruto fanfic battle, Naruto might have a chance if he uses his strategic thinking. He could use his shadow clones to surround Kratos and then attack from all sides. But Kratos is no pushover. His experience in combat is vast. He has fought against opponents with all kinds of powers. If he manages to break through Naruto's clones and get to the real Naruto, it could be over. However, Naruto also has his sage mode which gives him enhanced strength and perception. So it's a very tough call.
There might be a fanfiction where Naruto somehow gets transported to Kratos' realm. Naruto, with his never - give - up attitude, could try to befriend Kratos. He might see the pain and anger in Kratos and try to show him a different way. And they could team up against some common enemies in Kratos' world, like some of the gods or demons there.
The older generation, like Kakashi, would be very cautious. He has seen a lot in his life and would be worried about the implications of Naruto having such god - like powers. He would try to guide Naruto to use these powers responsibly, fearing that Naruto's inexperience with such power could lead to chaos in the ninja world.
Sasuke would probably be very suspicious at first. He doesn't trust easily and seeing Naruto with Zabuza, an enemy in his eyes, would make him question Naruto's motives. Kakashi, on the other hand, might be more open - minded. He would likely keep an eye on the situation to make sure Naruto isn't being led astray but also recognize that Naruto has a way of changing people for the better.