Yes, it's rotates fully by 360 degrees so you can put it anywhere of your choosing.
That said, it does depend what kind of surface your dash is. The suction cup is super sticky and strong (it hasn't moved at all in a month on my window) but my dash is textured and made of a soft material. There was no chance of any suction cup sticking directly on that but they do also supply a strong 3M round sticker for the mount to sit on in cases like this. But the dash wasn't even having that so I gave up and went for the window.
If you have a smooth flat surface such as plastic, walnut etc then it will be perfect.