Sticker peeled off paint from wall
It looks to me like that is just the top layer of paint. Assuming that is the case - i.e., the drywall underneath is not damaged beyond small scratches - you don't need to use any spackle. In fact, doing so would be a lot of work because you don't have any real holes to fill - you'd be sanding nearly all of it off.
However, you can't just paint over the existing paint. You need to sand it down so that you don't have real edges from the old paint. Primer wouldn't hurt. If you are going to repaint the same (or very similar) color &amp; finish then you may be able to get away with primer just over the damaged &amp; sanded areas, but that might result in an inconsistent topcoat.
The most important thing though is that you should repaint the whole wall. Otherwise, even with a near-match on the color, the difference between old &amp; new will be quite obvious. If you use a close-enough color, you can get away with painting just one wall and not the rest of the room.