I'm guessing it's a music video. If you mean the video has the website address in the corner of the screen or something like an MTV logo, there's nothing you can do as the text is embedded in the video picture, it's not an option you can turn on and off.
One option would be to crop the video in an editor, but you will lose some of the picture size not just the text.
Another option would be to add a blur filter to the area where the text is. This wouldn't remove the web address but would make it less visible.