For windows users (and with simple video like this one)you can do that in two minutes.
Drop the video in Virtuadub 1.10.4 and use it's buit-in "perspective" filter.
Using Blend mode and curves editor, you can only apply the filter to the parts of the video you want, so the part when gamepad is shown is not affected. (tutorial is here: https://www.youtube.com/watch?v=2MWoVY9mYbk)
Drop the video in Virtuadub 1.10.4 and use it's buit-in "perspective" filter.
Using Blend mode and curves editor, you can only apply the filter to the parts of the video you want, so the part when gamepad is shown is not affected. (tutorial is here: https://www.youtube.com/watch?v=2MWoVY9mYbk)