It could also be a result of a powerful curse or blessing. For instance, he might be cursed by an old enemy with the ability to control time as a side - effect, but he then learns to master it. Or, it could be a blessing from a sage or some other powerful being who sees Naruto's potential and gives him this unique ability to help him save the world.
Foxes are quite common. Given Naruto's connection with the Nine - Tailed Fox, it makes sense that in fanfiction, he might be able to control other foxes. They can be used for scouting or as distractions in battles.
Well, it could change the plot in many ways. For example, he might be able to go back in time to prevent some tragedies from happening in the Naruto world, like the death of his parents or the destruction of his village. This would completely rewrite the story as we know it, and create a whole new set of relationships and events.
One interesting plot development could be Naruto using his time - control ability to prevent the death of his parents. He might go back in time and change the events that led to their demise, thus altering the whole Naruto universe as we know it.
One idea could be that Naruto gains some new power or jutsu that allows him to control Anko's actions in a non - malicious way. Maybe it's a form of genjutsu that he accidentally uses on her during a training session, and then has to figure out how to reverse it.
Well, Harry Potter himself is surely one of the main characters as the title implies he has the power to control time. Hermione Granger is likely to be another main character. She is always by Harry's side in the original series and would be there to help him understand and manage his new time - controlling ability, perhaps with her vast knowledge and logical thinking.
One possibility is that Percy uses his time - controlling ability to prevent a great disaster in his world. Maybe he goes back in time to stop an evil force from being unleashed in the first place.
In this 'izuku controls time fanfiction', perhaps he discovers his time - controlling power accidentally. He then uses it to explore different timelines. He might meet alternate versions of himself and his friends. This exploration of different realities could lead to him finding a way to make his own timeline a better place, like bringing back fallen heroes or preventing the destruction of parts of the city.
In a 'Naruto controls snow' fanfiction, it could be that Naruto is cursed by an enemy. As a result, his chakra is somehow linked to snow. At first, he struggles to control this new power, but with the help of his friends and some intense training, he masters the ability to control snow and turns it into a powerful weapon against his foes.
In the fanfiction where Naruto controls the Tesseract, it could change the power dynamics completely. Naruto is already a powerful ninja, but with the Tesseract, he could become near - invincible. He might be able to use the Tesseract's space - bending abilities to surprise his enemies in battle. For example, he could suddenly appear right in front of them or make them disappear into another dimension. Also, he could potentially use it to heal wounds or revive the dead, if he discovers all of its powers, which would make him not just a hero in his own world but maybe in the entire multiverse of the fanfiction.