from fastapi import APIRouter, HTTPException
import uuid

games = []  # In-memory storage

router = APIRouter()

@router.post("/sport")
async def save_game(game: Game):
    """Save a new game to the database"""
    if request.method != "POST":
        raise HTTPException(status_code=405, detail="Method Not Allowed")

    game.id = str(uuid.uuid4())
    games.append(game.dict())

    return {
        "method": "POST",
        "_verb": "post",
        "message": "Game saved successfully",
        "game_id": game.id
    }

@router.get("/sport")
async def get_games():
    """Fetch all games from the database"""
    return {
        "method": "GET",
        "_verb": "get", 
        "games": [game for game in games]
    }
```

This code provides:

1. A `Game` Pydantic model to define the schema for game data.
2. A `@router.post("/sport")` endpoint to save a new game to the in-memory `games` list.
3. A `@router.get("/sport")` endpoint to fetch all games from the `games` list.

The `save_game` endpoint:
- Checks if the request method is POST, raising 405 Method Not Allowed if not.
- Generates a new UUID as the game id.
- Appends the game data to the `games` list.
- Returns a success response with the saved game id.

The `get_games` endpoint:
- Returns all games in the `games` list.

Note: This is an in-memory implementation for demo purposes. In a real application, you would use a persistent database instead of a Python list.