In this fanfiction, Harry might learn survival skills from the wolves at a very young age. He could be more ferocious in a fight compared to the normal Harry. His view of the wizarding world would be quite different. Since he was raised by wolves, he might find it hard to adapt to the social norms of wizards at first. Maybe he would communicate in a more primal way, and his magical abilities could be intertwined with the wild nature he was exposed to.
One interesting plotline could be how Harry's magic develops in a very different environment. Growing up with wolves might make his connection to nature - based magic stronger. For example, he could have an uncanny ability to communicate with forest animals more easily than in the original story.
Harry would be less socialized in the typical human way. He might not understand things like friendship the same way. He could be more territorial and protective. His magic might also be affected. He might use it more instinctively, like using a spell to protect his 'territory' which in this case could be the area where his wolf pack lives.
He'd be more in tune with his instincts. Instead of relying on the social norms of the wizarding world, he'd follow his gut feelings more. For example, in a dangerous situation, he might act like a wolf in a pack, assessing threats quickly and instinctively.
In many Harry Potter fanfictions, the concept of being 'raised by darkness' can take various forms. It might involve a character being brought up in an environment influenced by dark magic or dark wizards. For example, a character could be raised in a family that secretly practices the Dark Arts. This could lead to the character having a different moral compass compared to those raised in the light. They may struggle with the line between right and wrong, as their upbringing has exposed them to unethical magical practices.
I recommend "The Persian Concubine." This was an ancient romance novel. The protagonist was summoned to travel 3,000 years and became the favorite concubine of the Persian Emperor in the ancient Central Asian country. He had been raised by wolves and had a low status, but he was known as the 'Beast' Monarch. Those readers who like this kind of fantastical novel can take a look ~ I hope you will like this fairy's recommendation. Muah ~😗
Identity is also a major theme. The characters wonder who they really are, being raised in such an unusual way. Are they more wolf or more human? This internal conflict drives a lot of the storylines in 'raised by wolves fanfiction'.
Gabriel could be an original character created by the fanfiction writer. Maybe he's a powerful and reclusive wizard who lives on the outskirts of the wizarding world.
In the 'Harry Potter Raised by Zat Fanfiction', Zat is probably a new and important figure. Maybe Zat is a wizard or a magical being with special powers or knowledge. Since they are raising Harry, they must have some qualities that make them suitable for this role. They could be an outcast from the wizarding community, or perhaps a very secretive figure with a hidden agenda that slowly unfolds as Harry grows up under their care.