Yes, in many fanfictions, Naruto is often depicted as a huge fan of the Fourth Hokage. After all, the Fourth Hokage is his father. Naruto grows up idolizing the Fourth Hokage's heroic deeds and wishes to be like him.
Naruto himself is often a popular character in these fanfictions. Since he is the main character of the original series and has a connection to the Fourth Hokage as his father, his presence adds depth to the story. Kakashi is also common. His relationship with the Fourth Hokage was that of a student - teacher, and it can be further explored in fanfictions.
One interesting Naruto Fourth Hokage fanfiction could be one where he survives the fight against the Nine - Tails. In this kind of fanfiction, he gets to see Naruto grow up and train him personally. It would be a heartwarming story of a father - son relationship that was cut short in the original series.
No. In the official Naruto series, Naruto is the son of the Fourth Hokage, Minato Namikaze. Fanfiction might play around with this concept for creative or alternate universe purposes, but it goes against the original lore.
In this fanfiction, Naruto might save the Third Hokage by using his newfound powers. Maybe he taps into a deeper level of his chakra and arrives just in time to fend off the enemy attacking the Third. His determination and growth as a ninja would play a crucial role in this rescue.
The Third Hokage's training might have introduced Naruto to more advanced jutsus. For example, he could have taught Naruto better control over his chakra, which is crucial for performing ninjutsu. This would allow Naruto to use his Rasengan more effectively and with less strain.
One challenge could be mastering difficult jutsus. The Third Hokage might set high standards for Naruto to learn complex techniques, which would be a struggle for him.
In this fanfiction, Naruto might finally get the fatherly guidance he always craved from the Fourth Hokage. Maybe the Fourth Hokage would teach Naruto some long - lost jutsu that only he knew. It could also be a chance for Naruto to understand his father's sacrifices on a deeper level.
Kushina is an obvious choice. In fanfictions, they can have more adventures together, or their relationship can be explored in more depth. Their love story is already quite popular in the Naruto series, and in fanfictions, it can be expanded upon, like showing more of their courtship days.
In this fanfiction, the plot might involve Naruto being tricked by an evil force into believing that the Fourth Hokage has some dark secrets. So he decides to fight him. It could also be a scenario where Naruto enters a different dimension where the Fourth Hokage is being controlled by an outside power, and Naruto has to free him by fighting. And during the fight, Naruto discovers new things about his father and his own abilities.