This Google Apps Script will automatically save Gmail attachments to Google Drive. It also has a premium version that supports nested Gmail labels, it can monitor multiple Gmail label and saves attachments in logical Google Drive folders.
function sendToGoogleDrive() { var sheet = SpreadsheetApp.getActiveSheet(); var gmailLabels = sheet.getRange("D4:D4").getValue(); var driveFolder = sheet.getRange("D5:D5").getValue(); var archiveLabel = sheet.getRange("D6:D6").getValue(); var moveToLabel = GmailApp.getUserLabelByName(archiveLabel); if ( ! moveToLabel ) { moveToLabel = GmailApp.createLabel(archiveLabel); } var filter = "has:attachment -label:" + archiveLabel + " label:" + gmailLabels; var threads = GmailApp.search(filter, 0, 5); var folder = DriveApp.getFoldersByName(driveFolder); if (folder.hasNext()) { folder = folder.next(); } else { folder = DriveApp.createFolder(driveFolder); } for (var x=0; x