Heat 1 teaspoon sesame oil in a large nonstick skillet over medium heat. Add garlic, and cook for 2 minutes. Add cremini and shiitake mushrooms and chicken; cook for 8 minutes, stirring occasionally. Add shredded cabbage, kosher salt, crushed red pepper, and water chestnuts; cook for 5 minutes or until cabbage wilts. Remove from heat, and stir in onions, oyster sauce, and soy sauce. Cool completely. Place mixture in an airtight container or heavy-duty zip-top plastic bag; freeze.
Thaw chicken mixture overnight in refrigerator or microwave at MEDIUM for 10 minutes. Bring to room temperature, or microwave at HIGH until warm, if desired. Stir in cilantro. Spoon about 3 tablespoons chicken mixture into each lettuce leaf with a slotted spoon.
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