Kakashi could focus on Naruto's Rasengan training, helping him develop new variations. He might also give Naruto training in reading opponents' moves better. This would involve a lot of sparring sessions. Additionally, Kakashi could train Naruto in the use of ninja tools in more creative ways. Naruto often relies on brute force, and Kakashi could teach him to be more strategic with his equipment.
He might learn some advanced chakra control techniques. For example, better management of his Nine - Tails chakra. Kakashi, being a skilled ninja, could teach Naruto how to blend his own chakra with the Nine - Tails' more effectively, which would enhance his combat abilities.
Sorry, I haven't read that exact fanfiction so I can't give a proper summary. But it might be about Kakashi's encounter with a sleeping Naruto and the thoughts or actions that follow from that.
In a future Naruto and Kakashi fanfiction, Naruto could gain the ability to communicate with all living things. This would help him in understanding the needs of the village and the surrounding nature. Kakashi, on the other hand, might develop a new Sharingan ability that allows him to see the future in a very limited way, like seeing the next move of his opponent a few seconds in advance. This would enhance his combat skills significantly.
Well, Kakashi might constantly train Naruto privately to make him stronger. He would keep a close eye on Naruto during dangerous missions, ready to jump in and save him at any moment. For example, if Naruto is about to be attacked by a powerful enemy, Kakashi would use his Sharingan to quickly assess the situation and block the attack.
Naruto could have the ability to control a new type of chakra nature, like lightning in a more powerful way than Kakashi. This would give him an edge in combat as he could combine it with his Rasengan or other techniques.
He might gain better chakra control. Kakashi could teach Naruto how to precisely manage his chakra, allowing him to perform jutsus more efficiently and for longer periods. For example, Naruto could use his Shadow Clone Jutsu without exhausting his chakra so quickly.
Maybe Kakashi breaks Naruto's confidence. He could constantly criticize Naruto's new jutsu in front of others, making Naruto feel self - conscious and less likely to try new things. This could set Naruto back in his development as a ninja.
One possible reason could be that Kakashi is in a life - threatening situation and realizes that Naruto is the best candidate to inherit his Sharingan. He knows Naruto's potential and his desire to protect the village. Another reason could be that Kakashi wants to see how Naruto would use the Sharingan in combination with his own unique abilities. He's curious about the new powers and techniques that Naruto could create with it. Also, it could be a way for Kakashi to show his complete trust in Naruto, as the Sharingan is a very precious and powerful gift.
Well, one similarity could be their determination. In the fanfic, like in the original series, both Naruto and Kakashi are very determined. Naruto is always striving to become Hokage and Kakashi has his own goals and missions he's dedicated to. They also might share similar combat styles in the fanfic, perhaps Naruto starts to adopt some of Kakashi's strategic thinking during battles.