Well, Naruto would surely keep his signature moves like the rasengan, which he could potentially upgrade with his newfound powers from being Azazel's son. He could also have some form of telepathy or mind - reading ability that is common among fallen angels in Highschool DxD. His shadow clones could take on new forms or abilities, perhaps being able to blend in with the shadows more effectively. Additionally, he might have an innate resistance to certain types of magic or attacks in the Highschool DxD world, thanks to his unique heritage.
He would probably have Naruto's regular ninja powers like the rasengan and shadow clones. But combined with his Azazel heritage, he might also have some unique fallen - angel - like abilities. Maybe he could fly or have some sort of dark energy - based attack.
In such a fanfiction, Naruto being the son of Azazel would bring a whole new dynamic. His chakra could be seen as a unique form of power in the Highschool DxD universe. He could potentially use it to enhance his physical abilities even more than the normal characters in that world. And his rasengan? It could be a really powerful attack against the various creatures in the story. He might also have some internal conflict about his heritage, being part - ninja and part - fallen angel.
He would definitely still have his chakra powers. His ability to create shadow clones would be a great asset. Also, his sage mode, if he could access it, would give him enhanced strength, speed, and sensory abilities in the DxD world.
He would bring his chakra powers for sure. His ability to use jutsus like Rasengan would be a powerful addition. Also, his enhanced physical abilities due to being a demigod, like super strength and speed, would make him a formidable opponent in the DxD battles.
The heroic heir should have a strong sense of justice. Just like the main characters in the original DxD series. They need to be able to distinguish right from wrong and fight for what is good. Additionally, they would likely possess some kind of special power or ability. This could be something they are born with or something they inherit from Azazel or other sources. This power would help them in their battles against evil. For example, it could be a unique form of magic or a powerful sacred gear. Moreover, they would need to be a good leader. Since they are an heir, they may have to lead others in battles or in the pursuit of a greater good.
Maybe he has the power of a different tailed beast. Since Naruto has a connection with the Nine - Tailed Fox, his son could be linked to another tailed beast, which would give him a whole new set of powers and challenges. He'd have to learn to control this power, just like Naruto did with the Nine - Tailed Fox's chakra.
It's possible that he has the power to summon creatures related to Amaterasu. Maybe some sort of fire - spirit or a mythical beast associated with the goddess. And from Naruto, he could inherit the ability to enter Sage Mode, which would further enhance his combat capabilities when combined with his fire - based powers.
One interesting crossover could be the combination of Naruto's ninja skills with the supernatural elements in Highschool DxD. For example, Naruto's shadow clone jutsu might be used in a unique way during a battle in the Highschool DxD universe. Maybe the clones could be used to distract devils or fallen angels while the real Naruto uses his Rasengan.
Naruto is often a very popular character in these crossovers. His strong - willed nature and powerful ninja abilities make him stand out. He can bring a new level of action and adventure to the Highschool DxD setting.
He could have the power of the Ouroboros, which might give him the ability to manipulate energy in ways unique to the Highschool DxD world. Maybe he can create powerful energy shields or attacks.
Devil Naruto might possess the power of flight, which is common among devils in Highschool DxD. His chakra could be infused with devil energy, making his jutsus more powerful and having additional effects like draining the opponent's energy. His shadow clones could also be enhanced to have some devil - like characteristics, such as being able to resist certain types of attacks better.