In the game, the avatar that you play as, rather than being a set character, can be in fact customised to look however you wish for it to look. This is done through the purchasing of various items in the My Town part of the game. These items become more plentiful as you play through the Ferrum League.
Customisation of the characters is very in-depth and allows for you to make the character have as much or as little personality as you want. Many outfits are purchasable using the PokéGold you obtain in matches, but many will also be given through the Lucky Bonus gift at the end of some matches. In addition to that, some clothing options are exclusive to when you scan amiibo.
Since the Wii U version, the amount of clothing and hair options available to players has doubled.
The character is what represents you when you participate in online matches.
When you start the game, you have the ability to pick your gender and the base for your character's body in terms of skin colour and face. This can be changed at any time, including the gender of your character, within the My Town part of the game. Pokkén Tournament DX increased the amount of facial expressions you can select from 5 to 18. The base options are as follows.
Facial Features - Male & Female