Sure, there's no Tamagotchi racing game yet released for any console, but one of the most popular Tamas, Mametchi will appear as a driver in
Mario Kart Arcade GP 2, a sequel to 2005 arcade Mario Kart game
Mario Kart Arcade GP.
Also, Mametchi will be first non-Nintendo character appearing in Mario Kart games, as Mario Kart GP 2 is made by Namco and Bandai together (Namco created original MK GP for Nintendo)
Edit: Actually he is not. Namco's own characters Pac-Man and Ms. Pac-Man made it to the 1st Mario Kart GP game.There's no much info released of Mario Kart GP 2 yet, but one fancy
*SCREENSHOT* was found from Wikipedia.
Mametchi can be seen in the lower right corner of the poster with all the other characters on their karting cars. His car's front panel character is smiling Mametchi head, and there's a Tama-themed water(?) bottle in the group of item pictures. Looks like it's Mametchi's own boost/battle item, but what will it do?