On the Home tab, click on Create New in the Quick Steps box on the ribbon. If you use Outlook with G Suite Mail, you can create a 'Quick Steps' button on your ribbon to make archiving easy in Outlook too.
If you use Thunderbird, and configure it as described in our procedure, the Archive button will keep the message in the All Mail label/folder. It appears above the selected or opened message(s): If you use the G Suite Mail or the mobile GMail app, archiving is easy because these clients have a built-in Archive button.
Note: this archiving is different from the 'auto-archiving' of older messages performed by the Outlook client. The message is still in the 'All Mail' label/folder and retains any other labels it may have as well. This is like moving messages into a filing cabinet for safekeeping, rather than putting them in the trash can. Google archiving removes messages from your Inbox, but keeps them in your account so that you can always find them later. With Connect G Suite, you can 'archive' a message when you're done with it rather than deleting it.