I think how it works is:
1. Pick Player A.
2. Pick a teammate of A (let's call him Player B).
3. Twist B to a subsequent season.
4. Repeat steps 2 and 3 until you finally get to Player Y.
5. Finally, for your team to be valid, any player can only be a teammate of an adjoining letter (i.e. A can only be a teammate of B, B is only a teammate of A and C, all the way to Player Y is only a teammate of X).