In time travel fanfiction, if Jiraiya goes back, it can have a huge impact on his relationships. He may be able to save some relationships that were lost in the original timeline. For instance, he could repair his broken friendship with Orochimaru. Regarding his relationship with Naruto, if he travels back to Naruto's childhood, he can be a more effective teacher and friend. This could lead to Naruto trusting him even more. And if they travel back together, they rely on each other more in the different time period, which enhances their bond.
One popular plot is Jiraiya going back in time and using his knowledge to prevent the Uchiha massacre. He could train Sasuke differently, or even find a way to resolve the conflict between the Uchiha and the village. Another plot might be Naruto traveling back with Jiraiya. They could team up to change events that led to the rise of Akatsuki, like stopping Nagato from going down the dark path. There are also plots where Jiraiya tries to change his own past mistakes, such as not being able to save Orochimaru from the darkness earlier.
Their relationship could become more of a peer - to - peer one. Since Naruto already has a lot of knowledge and skills from his future self, he might be able to offer new perspectives to Jiraiya. Jiraiya could see Naruto in a new light and start to rely on him more in certain situations.
One possible plot twist could be that Naruto and Jiraiya travel back to a time when the Uchiha clan was at its peak. This would put Naruto in a position to potentially prevent the Uchiha massacre. He could use his knowledge of future events and his skills to change the course of history for the better. Jiraiya, on the other hand, could discover secrets about the Uchiha that were lost over time.
In this fanfiction, perhaps Jiraiya goes back in time to prevent certain tragedies. He might try to stop the deaths of his friends or change the course of events that led to the downfall of the Hidden Leaf Village at some point. He could use his knowledge of future events and his powerful jutsu to rewrite history.
Jiraiya is frequently shown as a very dedicated mentor. He is willing to sacrifice his own time and resources to train and guide his students. In some fanfictions, he goes to great lengths to protect his students from harm, even putting his own life on the line. This selfless aspect of his character is often emphasized.
Maybe the main antagonist could be an older version of Madara Uchiha who has somehow found a way to manipulate time as well. He might be trying to change the past in a way that benefits him and his grand plan for the ninja world, which would put him in direct conflict with Jiraiya.
Jiraiya's reaction might be complex. He might be in awe of Naruto's new power but also sad about his departure. He could see it as a natural progression in Naruto's journey, yet still feel a pang of loneliness. He might start to reflect on his own life and training methods, wondering if he could have done something differently to keep Naruto with him. At the same time, he would be eager to see what Naruto will achieve in the world with his newfound abilities.
They often make him seem irresponsible. For example, in normal Naruto story, Jiraiya is seen as a mentor to Naruto. But in bashing fanfiction, he may be shown as being more interested in his own adventures and leaving Naruto alone at crucial times.
It could be Orochimaru. Since Orochimaru has a long - standing feud with Jiraiya and is always up to no good. If Naruto ditches Jiraiya, Orochimaru might see this as an opportunity to manipulate Naruto. He could try to convince Naruto that Jiraiya was holding him back and that he can offer Naruto more power, all while having his own evil plans for Naruto.