Start by finely mincing the chicken into small, uniform 1/8-inch pieces—this ensures even cooking and better texture in each dumpling. While prepping the chicken, finely dice the red pepper, crush the toasted peanuts by hand or with a rolling pin to create a nice crunch, thinly slice the red cabbage, roughly chop the cilantro, mince the garlic, and grate the ginger. Having everything prepped and ready makes the dumpling assembly much faster and more enjoyable.
In a medium bowl, combine the diced red pepper, crushed peanuts, red cabbage, cilantro, minced garlic, and grated ginger with the sesame oil. Stir until everything is evenly distributed, then add the minced chicken and fold gently until just combined. The mixture should hold together when pressed but still feel light and chunky—avoid overmixing, which can make the filling dense. I like to taste a small pinch at this point to adjust the flavor if needed with a dash of soy sauce or fish sauce.
Lay out a wonton wrapper on a clean, dry surface and place about 1 tablespoon of filling in the center—don't overstuff, as it will make sealing difficult. Using a wet fingertip, moisten all four edges of the wrapper lightly (water acts as the seal). Fold the wrapper diagonally to create a triangle, pressing firmly along the edges to seal out air pockets. For a traditional pouch shape, bring the two opposite corners of the triangle together and pinch to seal. Repeat with remaining wrappers and filling.
Heat a skillet over medium-high heat and add enough oil to coat the bottom (about 2-3 tablespoons). Once shimmering, carefully place the dumplings flat-side down in a single layer and cook undisturbed for 4-5 minutes until the bottoms turn golden brown and crispy. Pour in 1/4 cup water carefully (it will steam and sizzle), immediately cover the skillet with a lid, and reduce heat to medium-low. Steam for 5-6 minutes until the wrappers become tender and the filling is cooked through. The combination of high-heat searing and gentle steaming creates dumplings that are both crispy and tender.
While the dumplings are steaming, whisk together the peanut butter, rice vinegar, soy sauce, and fish sauce in a small bowl. Whisk until smooth and well combined—if the sauce seems too thick, add a tablespoon of water to reach your desired consistency. The sauce should be pourable but not watery. I prefer Jif creamy peanut butter because it dissolves smoothly into the sauce without any grittiness, creating a silky finish.
Carefully transfer the cooked dumplings to a serving plate, arranging them so the crispy golden sides face up for visual appeal. Sprinkle the sliced green onions over the dumplings and serve the warm dipping sauce on the side in a small bowl. Offer extra lime wedges or additional sauce if desired, allowing guests to customize to their taste.