This video's title, "Godmars doesn't move," isn't entirely accurate: Not counting the transformation sequences, Godmars moves twice.
Of course, one of those times is when Godmars moves for maybe five seconds at about 6:04, while another is two brief flashes around 9:06 or so.
Ironically, this means that those brief movements are rather more impressive, as if to say "Oh, boy, Godmars is moving now, NOW you're in trouble!"
Actually, I think he just moves too fast to see*. He obviously must be moving offscreen, doing it very quickly is probably just why.
*I'm mostly kidding. I think.