Season the chicken strips uniformly with salt and black pepper.
Heat vegetable oil in a heavy-bottomed skillet over medium-high heat until shimmering.
Sauté the chicken strips for 6 to 8 minutes, turning occasionally until the internal temperature reaches 74°C (165°F).
Reduce heat to low, add the sweet chili sauce to the skillet, and toss the chicken until thoroughly glazed and the sauce is slightly reduced.
Briefly warm the flour tortillas to increase elasticity.
Place a base layer of shredded lettuce, carrots, cucumber, and red onion in the center of each tortilla.
Distribute the glazed chicken strips evenly across the vegetable base.
Garnish with fresh cilantro.
Fold the lateral edges of the tortilla inward and rotate from the bottom to form a tight cylindrical wrap.