AFAIK, Google does not recommend a specific approach to state management in Flutter, but rather encourages developers to choose the one that suits their needs and preferences best. However, Google does provide some general guidelines and best practices for state management in Flutter, such as:

1. You need to think declaratively: Flutter is based on a declarative paradigm, where you describe what your UI should look like based on the current state, rather than how to change it imperatively. This makes your code more readable, maintainable, and testable.

2. Try to use immutable data structures: Immutable data structures are ones that cannot be modified after they are created. They help you avoid bugs caused by accidental mutations, and make your code easier to reason about. You can use built-in types like List or Map, or use packages like freezed or built_value to create immutable classes.

3. Use scoped models: Scoped models are objects that hold some data and logic related to a specific part of your app. They can be accessed by widgets that need them using providers or other mechanisms. Scoped models help you avoid global variables or singletons, and make your code more modular and testable.

4. Use reactive programming: Reactive programming is a style of programming where you work with streams of data that can change over time. You can use reactive programming to handle asynchronous events, such as user input, network requests, timers, etc. You can use built-in types like Stream or Future, or use packages like RxDart.