There is no way to remove a person from WhatsApp without notify them. Since the group chat history is available in their chat list, the information will be notified there when he/she is removed from the group and will be notified to every other members in the group too. However, there will not be any special push notification message or any alert sent to that person or other group members. But the group chat list will not be deleted from their WhatsApp. The list will be there with all the previous messages, but the person will not be able to type and send any message to the group or cannot see any new messages. The chat will also show a small message saying ‘You are removed by (member name, who removed you)’.
As i mentioned in my different post regarding the hidden features of WhatsApp, the company is adding more features all the time since WhatsApp is now the primary messaging application for all mobile phones. Also this is one of the most requested feature, so we may hope that WhatsApp may include these feature in their future update. Recently we noticed that whatsapp is including some feature that users are constantly requesting. For example, even after adding the group call feature in their application. Users are complaint about the issue that, the option to make call from the group chat window is now available.
Now, whatsapp now fixed it by adding a call button in the group chat and the feature and started rolling out to the users which makes that feature more useful and easier. So in the same was this feature also expected to be updated more effectively. We will update that when it is released.