You can save YouTube videos, and it will not even seize your storage. But there is a small barrier: you cannot save all types of videos. Only you can download offline permission offered videos. Under the video, you will see numerous options out there, such as like, dislike, share, and download. If you see the download option fade and no tap responding, you cannot download that video for offline watching. But there are many third-party applications available for downloading YouTube videos.