His magical abilities might be stunted at first. The depressing and soul - sucking environment of Azkaban could suppress his natural magical growth. But on the other hand, he might develop some unique magical skills out of necessity. For example, he could learn to create his own light source to combat the darkness, which is a magic not typically taught in Hogwarts.
Harry's magical abilities would be deeply affected if he grew up in Azkaban. Since there is no proper magical education in Azkaban, he would have to learn magic on his own. This could lead to some interesting developments. He might discover new ways of using magic that are different from the traditional Hogwarts methods. For instance, he could learn to use magic to create illusions not just for fun but as a survival mechanism. Also, his Patronus charm might be very different. Instead of a normal animal form, it could be something more related to the dark and gloomy environment of Azkaban, like a shadowy figure that still has the power to repel Dementors. His magic would be a blend of self - taught skills and a reflection of the harsh environment he grew up in.
Well, it's possible that some of his magical abilities would be affected in a negative way. Since vampires have a different biological makeup, the way magic flows through them could be different. His ability to perform certain types of magic that rely on positive energy, like some healing spells, might be weakened. On the other hand, his dark magic capabilities might be enhanced, which could be a real danger for Harry as he has always fought against the dark side.
Well, if we consider a 'Harry Potter grows up in Azkaban' fanfic, it could start with Voldemort winning and somehow Harry ends up in Azkaban as a baby. Growing up there, he would have to endure the cold and the constant presence of dark magic. He may learn some unusual magic just from being in that environment, and his relationships with other inmates or guards (if there are any kind interactions) could be really strange and complex.
Harry might become more refined. Fleur has a certain elegance about her, and growing up with her could rub off on Harry. He could become more polite and cultured in his ways.
Well, perhaps Harry would have a much darker personality. Azkaban's gloomy environment could have made him more cynical. He might start to question the very nature of the wizarding world. And when he finally gets out, he could be on a mission to completely change the way Azkaban is run, or even the whole justice system in the wizarding world. Since he grew up surrounded by the so - called 'criminals', he might realize that not all of them are truly bad.
The plot could develop with Harry having to face the harsh rules of Azkaban. He might start to form alliances with other prisoners who are wrongly accused, like his father's friends perhaps. And as he grows, he starts to understand the dark secrets of the wizarding world from a different perspective, one that is filled with the pain and injustice of Azkaban.
His magical education would change. American schools might focus more on practical magic for self - defense from an early age, given the more dangerous magical environment in some fan theories. So Harry could be more battle - ready sooner.
He'd probably be more sophisticated in a French way. French culture values elegance and refinement, which could seep into his personality.
He'd probably be more rugged. Skyrim is a harsh land, so he'd be tougher physically. His personality might be less influenced by the refined wizarding society of Hogwarts and more by the rough - and - tumble adventurers in Skyrim.
His magic might be more in tune with Japanese elements. For instance, his Patronus could take on a form related to Japanese mythology, like a Kitsune. His spell - casting could be more fluid and graceful, influenced by Japanese martial arts movements. Since Japanese magic could be more about harmony with nature, his magic might also be more attuned to the natural elements around him, like using the power of the wind that blows through Japanese bamboo forests.
His magical abilities would likely develop at a much faster rate. The founders are extremely powerful and knowledgeable. They could guide Harry to discover and master magic that most wizards his age wouldn't even know exists.