It depends. Some Percy Jackson fans might be really into this kind of fanfiction as it combines two exciting elements - Percy Jackson and dragon riding. However, compared to the more mainstream Percy Jackson stories, it may not be as widely known. There are a lot of different fanfiction out there, and popularity can vary greatly depending on the specific fan community and how well it's promoted among Percy Jackson enthusiasts.
His first reaction might be shock. Dragons aren't exactly common in his world, even with all the mythical creatures. But then his hero instincts would kick in. He could try to befriend the dragon, thinking it could be an ally in future battles against the Titans or other enemies. He might offer it some food, like a fish or something, to gain its trust.
One way to write it could be to focus on Percy's connection to the water element and how it might interact with the dragon transformation. For example, perhaps the dragon form has water - based powers like shooting jets of steam from its mouth. You could also explore how Percy's character traits, like his loyalty and courage, are enhanced or changed in the dragon form.
One common theme is the hero's journey. Percy, as the dragon slayer, has to go through various challenges and grow as a character. Another theme is the power of friendship. Often, he has friends who help him in his dragon - slaying quests. For example, his demigod friends might use their unique powers to assist him.
One plot line could revolve around a prophecy. The prophecy could state that only a dragon - transformed demigod can stop an upcoming great evil. Percy then has to embrace his new form and journey to different mythical places to gather the power or knowledge needed to defeat this evil. Along the way, he faces challenges not only from the forces of evil but also from his own self - doubt about whether he is the right one for the task. He might also meet some new allies who are also part dragon, and together they form a powerful team.
One common theme is power. In both universes, power plays a huge role. In Percy Jackson, there are the powers of the demigods, and in Dragon Ball Z, there's the power of ki. Fanfictions often explore how these powers interact when the two worlds collide. For example, a demigod might learn to use ki or a Z - fighter might gain a demigod - like ability.
In the fanfiction, it could be that the dragon is a guardian of some sort. Percy finding it could lead to a whole new adventure where he has to protect the dragon from other forces that want to use it for evil. Since Percy is a hero, he would definitely step up to the challenge.
There's also 'Female Percy: A New Heroine'. Here, Female Percy brings a fresh perspective to the story. Her fighting style is different, more fluid perhaps. And her relationships with the gods are also unique. Instead of the typical male bravado, she uses her wits and charm to get through tough situations.