Step 1Prepare a hot fire.
Step 2Cut the zucchini into 1/3-inch diagonal slices about 2 inches long. Toss the zucchini with the oil in a bowl. Add salt and pepper to taste and toss until well mixed.
Step 3Grill the zucchini slices until well marked, about 2 minutes. Use tongs to flip them over; cook until just tender but not soft, about 1 to 2 minutes longer depending on the heat.
Step 4To serve, return the grilled slices to the bowl. Toss with the thyme. Taste; adjust the seasoning. Serve warm.