Even if you’re not the best student, you impress them in other ways. Next time they have company over, be polite, sociable, and helpful with the food, drinks, and dishes. They will be so proud of how you behaved with their friends that they will try a little harder to make you happy too.
Be sure you are sincere when showing your appreciation. If you sound like you are just saying it, your parents are likely to see it as a ploy. Make this method more effective by thanking your parents regularly. Don’t just be thankful when you want to something. Showing regular appreciation will help build a better relationship which will make it easier to communicate when you want something.
If you aren’t sure whether or not it is a good time before asking about your game ask if they have a minute to talk or if they are too busy. If your parents tell you they are busy just let them know it’s okay and you’ll come back later. Don’t put pressure on them to deal with you immediately, they may have something important that they are focused on.
See if your parents will set up a chore-reward system. They can create a list of things that need to be done each week and you can earn a set amount of game time for completing them. This way you know what is expected of you and can get the chores out of the way when you’re feeling up to it.
Try to change your parents misguided beliefs as to why you can’t play. Find them out, change them. Maybe they just feel you’ve been spending too much time playing games and are worried it isn’t healthy for you. Keep track of how long you have played each week and set down an amount of time with them. Your parents might see playing games as anti-social, since you are alone in your room playing them. Show them how most games involve interacting with other players online and often working together to accomplish a common goal. If they can see you are developing leadership skills or learning to be a team player, they might see your gaming in a new light.