The Nitro Bike does not exist in Mario Kart Wii. It debuted in Mario Kart 8 (Wii U) and returns in Mario Kart 8 Deluxe (Switch) as an inside-drift bike for medium/heavy characters.
The Flame Runner (large bike, heavyweight class, inside drift) is the functional analog—high top speed, strong drift, favored by competitive players for time trials.
Check the in-game "Vehicle Select" screen after unlocking all Grand Prix cups. Every kart and bike for every weight class is listed there with stats (Speed, Weight, Acceleration, Handling, Drift, Off-Road, Mini-Turbo).
If you're playing MK8/Deluxe, the Nitro Bike unlocks via random coin collection (every 50 coins = random part unlock).