He could give her training in summoning jutsu. Naruto has experience with summoning toads. He could guide Kurenai on how to form the necessary hand seals and how to connect with the summoned creatures on a deeper level. This kind of training would not only give her a new offensive or defensive ability but also improve her overall chakra management during the summoning process.
Naruto could teach Anko his signature Rasengan. He would start with the basic steps, like how to control the chakra properly. And then move on to more advanced forms of the Rasengan.
Naruto could teach Hinata how to use the Rasengan. Since it's one of his signature moves, he could break it down and help Hinata understand the chakra control required. He might also train her in combat situations where she has to think on her feet, like he does in his battles.
It would be a complex relationship. Kurenai, being a genjutsu master, would demand discipline from Naruto. At first, Naruto might struggle with her methods as he's used to more action - based training. But over time, he would come to understand her approach. Kurenai would see Naruto's potential and would be determined to bring it out. They would share a mutual respect. Naruto would feel a sense of loyalty towards Kurenai, and she would feel a sense of pride in his progress.
Naruto would probably give Haku training on chakra control. Since Naruto has had to work hard on his own chakra control, he'd be able to pass on some useful tips. For example, he could teach Haku how to better focus his chakra for more precise attacks.
Naruto might give Luffy training in stealth. Since Naruto is a ninja, he is well - versed in moving around unnoticed. Luffy, on the other hand, is more of a straightforward fighter. So Naruto could show him how to approach enemies without being detected first, which would be a new and useful skill for Luffy in his pirate adventures.
Well, Naruto could have trained in a place with high - level natural energy. He would need to attune himself to this energy to enhance his telekinesis. He might have started by sensing the energy around small objects and gradually learning to influence it to make the objects move. He also probably had to endure some difficult challenges, like moving objects in a strong wind or against the pull of gravity, to truly master this ability.
The child would likely receive both physical and mental training. From Naruto, they would get training in chakra control and powerful ninja techniques. Naruto would teach them the Rasengan for sure. Kurenai, on the other hand, would focus on genjutsu training. So the child would be well - versed in both offensive techniques and mind - bending illusions.
One possible reason could be a misunderstanding. Maybe Naruto was misidentified as a threat in a tense situation. For example, if there was some sort of dark jutsu at play that clouded Kurenai's judgment and made Naruto seem like an enemy. Another reason might be that Kurenai was under some sort of mind - control. There are many villains in the Naruto universe who are capable of such things. If she was being controlled, she might unknowingly attack Naruto.
His training would be more diverse. Kakashi would introduce him to advanced chakra control techniques and some of his secret jutsu training methods. Kurenai would focus on Naruto's mental strength in relation to genjutsu. So instead of just focusing on brute strength like in the original, Naruto would have a more balanced training regime.
In some fanfictions, Deidara might give Naruto training on explosive jutsu control. Since Deidara is known for his explosive clay techniques, he could potentially teach Naruto how to better handle and utilize explosive elements in combat.