It is necessary to relax your mind and body whenever you are trying to stay quiet. There is no need to feel any pressure and simply forget what you are doing for a few minutes. This will help you make a connection to your inner self rather than the outer world.
Listen to your favourite music
Plug in your earphones and start listening to a list of your favourite songs. This will make you feel a lot better and you will not be able to hear what others are discussing around you.
Practice being a good listener
Another thing is to practice being a good listener. Listen to the story of others and try not to interrupt them until they finish. If it is important, give your views otherwise it is better off staying quiet.
Talk to yourself
An effective way of staying quiet is by talking to yourself. Think of life and what you need to do and focus hard on things.