Place a clean, dry 15-inch (38 cm) round serving platter on your work surface. Position the small 4-inch (10 cm) bowl in the center to mark the opening of the wreath. Allow about 1 minute for this step. You should have a wide, even ring of space around the bowl for arranging the skewers.
Rinse the cherry tomatoes and rosemary sprigs under cool running water. Drain the mozzarella balls and pitted green olives in a colander. Pat everything thoroughly dry with paper towels, then separate the ingredients into small prep bowls. Allow about 5 minutes. The tomatoes should look clean and glossy, and there should be no visible puddles of liquid beneath the cheese or olives.
Place the 24 salami slices on the cutting board. Fold each slice in half, then fold it in half again to create a loose, layered shape. Work for about 3 minutes, keeping the folds gentle so the slices don't tear. Each folded piece should have a slightly ruffled edge that resembles a small flower petal.
Thread 1 cherry tomato, 1 folded salami slice, 1 mini mozzarella ball, and 1 pitted green olive onto each 4-inch (10 cm) wooden skewer. Continue until you've made 24 skewers, alternating the order of the ingredients for a varied appearance. Allow about 10 minutes. Each skewer should hold its ingredients securely without crushing the mozzarella or splitting the tomatoes.
Place the assembled skewers around the center bowl, pointing them in slightly different directions to form a circular wreath. Overlap the skewers gently as needed, keeping the open center visible. Allow about 3 minutes. The finished arrangement should resemble a full ring with the red tomatoes, green olives, and white mozzarella spread evenly throughout.
Tuck the 12 fresh rosemary sprigs between and around the skewers, with the leafy ends extending slightly beyond the outer edge of the wreath. Spread them evenly so the greenery frames the arrangement without covering too much of the food. Allow about 2 minutes. The rosemary should fill the visible gaps and create the appearance of evergreen branches.
Carefully lift the center bowl away, keeping the skewers in place. Adjust any loose ingredients or rosemary sprigs to maintain a neat circular shape. Allow about 1 minute. The finished wreath should have a clearly visible open center and a full, colorful outer ring. Serve immediately, or cover and refrigerate at 40°F (4°C) or below until serving.