Preheat the oven to 350 degrees F. Spray 1 or 2 cookie sheets with nonstick pan spray. Cut each pita into 8 wedges; split each wedge to separate the halves. Arrange in a single layer on the cookie sheet(s).
Mix the olive oil and garlic. Brush over the pita sections; sprinkle with basil and cheese.
Bake 8 to 10 minutes, or until lightly browned and crisp. Serve hot, or cool and store in an airtight container.