Cut three strips of handbag leather. Cut the strips 2-1/2 inches long and 7/8 inches wide.
Insert the strips through the D-rings, folding the strips and pinching the ends to make a loop.
Punch holes with a leather hole punch through the centers of the looped strips.
Punch three holes through the zebra skin and rug backing. Zebra skins are often placed with the head facing down. Place one hole at the top center, just under the tail, and two at the top corners where the back legs taper off.
Line up the holes of the leather strips with D-rings with the holes in the zebra skin.
Insert the rivet stems through the holes, coming in from the fur side of the rug. Comb the fur so it hides the rivet end.
Place the caps on the rivet stems on the back of the rug. Set the rivets by gently hitting the caps with a hammer.
Attach three nails or hooks to the wall. Make sure the distance between and height of the nails or hooks corresponds with the D-rings on the zebra skin. Hook the D-rings over the nail heads or hooks to hang the skin.