Well, Batman had multiple trainers. One of them was Henri Ducard. He taught Batman various combat and detective skills. Another was Jean-Paul Valley, who also had an impact on his training and approach.
There could be many different authors who write 'harry is trained fanfiction'. Fanfiction is a very open - ended and community - driven form of writing. It could be written by an amateur writer who is a huge fan of the original work (presumably something related to a character named Harry). They might write it just for fun or to explore a different side of the character that they feel wasn't explored enough in the original.
Green Arrow's training in the comics was a complex process. It wasn't just one person or event. His own perseverance, along with learning from various challenges and encounters, shaped him into the skilled hero we know.
Green Arrow's training in comics came from a combination of factors. He learned archery skills on his own through practice and facing challenges. Also, his interactions and battles with other heroes contributed to his development.
Maybe Dumbledore. He often has mysterious ways of providing Harry with tools or companions to help him in his journey. The trained hawk could be one such strategic gift from Dumbledore.
Kosuke might be a character created specifically for this fanfic. He could be someone with a unique background, like perhaps he was once a disciple of a great ninja but then went on his own path. And now he sees potential in Naruto and decides to train him. He could have abilities that are different from the main characters in the original Naruto series, which is why he has something new to offer to Naruto in terms of training.
In this fanfic, Lilith could be an original character created by the author. She might be a powerful and mysterious figure with special abilities that make her suitable to train Naruto.