One idea could be that Percy Jackson gets lost in the forest and is found by Artemis's pet wolf. The wolf takes Percy to Artemis's camp where Percy has to prove he's not a threat. Another could be a story where an enemy is trying to capture Artemis's pet wolf and Percy teams up with Artemis to protect it.
Well, in such a fanfiction, Percy as the pet wolf would likely be involved in Artemis' hunts. He could have unique interactions with the other members of Artemis' group. His human side might conflict with his wolf instincts at times. And there could be a whole story arc about how he got turned into a wolf and his journey to either get back to his human form or fully embrace his new identity as Artemis' pet.
In the fanfiction, perhaps Percy found the wolf as a cub, abandoned in the wild. He decided to take it in and raise it. As the wolf grows, it becomes his loyal companion. They might face challenges from people who fear the wolf because of its wild nature, but Percy stands up for his pet.
There might be. Fanfiction is a vast world. First, check the official Percy Jackson fan communities. They often have sections for different types of fan-created stories. You could also ask other Percy Jackson fans on social media platforms like Reddit's Percy Jackson subreddit. Maybe someone has come across this kind of story before.
A story could be written where Artemis's pet wolf goes missing. Percy, being a hero, offers to help find it. Along the way, he discovers some secrets about the wolf and its connection to Artemis. As he searches, he has to face some of Artemis's enemies who are also after the wolf for their own dark purposes. Percy uses his skills and the help of his friends to outwit the enemies and return the wolf to Artemis.
In certain fanfictions, Naruto indeed has a pet wolf. It could be used as a symbol of his connection to the wild or as a way to show his growth in taming and befriending something that is initially seen as fierce. This also gives the writer a chance to explore different aspects of Naruto's character, like his nurturing side.
The pet could be a small dragon. It would be really cool if Izuku had a dragon as a pet. Dragons are often associated with power and mystery in many fictional universes.