As long as you do not delete the profile where you are saving your game progress, you will be able to access your game’s progress for 10 months, even if you cancel your membership.
In general, Netflix retains member data for 10 months after a membership cancellation or lapse. So, if you resume their membership within that time frame, it's all good—your saved data will still be there.

However, game progress is saved only on the device and under the same Netflix profile. If you uninstall the game, clear game data, or delete the profile you played with, you’ll permanently delete your saves for that game.

You can read more details related to this topic here:
- How do game saves work on Netflix? (https://help.netflix.com/en/node/123943?q=cloud%20save)
- Deleting your Netflix account (https://help.netflix.com/en/node/126558)