In a small bowl, whisk together the creamy peanut butter, soy sauce, lime juice, brown sugar, minced ginger, minced garlic, and water until smooth to form the satay sauce.

Heat one tablespoon of vegetable oil in a large skillet over medium-high heat. Add the chicken strips in a single layer and cook until golden brown and cooked through, about 6 to 8 minutes.

Reduce the heat to low and pour the prepared satay sauce directly into the skillet with the chicken. Toss well to coat every piece evenly and let simmer gently until heated through, about 2 minutes.

Remove from heat, garnish with freshly chopped cilantro, and serve warm.