Preheat the oven to 375°F. Lightly spray a muffin tin with cooking spray.
Gently press each wonton wrapper into the muffin tin cups to form a cup shape. Bake for 8-10 minutes or until golden and crispy. Remove from the oven and let cool.
In a large bowl, combine the shredded chicken, red bell pepper, cucumber, green onions, cilantro, and peanuts.
In a separate small bowl, whisk together the mayonnaise, soy sauce, lime juice, sesame oil, and sriracha (if using).
Pour the dressing over the chicken mixture and toss until well combined.
Spoon the chicken salad mixture into each baked wonton cup.
Serve immediately or refrigerate for up to 1 hour before serving for a chilled option.