Prepare all ingredients: trim and slice the chicken breasts into strips; core and slice the red bell pepper into strips; trim and halve the sugar snap peas lengthwise; peel garlic (halve if very large); slice the fresh ginger; and slice the green onion on the diagonal.
Mix the stir-fry sauce in a small bowl by combining soy sauce (or gluten-free soy sauce), oyster sauce (or gluten-free oyster sauce), a splash of sesame oil, a sweetener of your choice, rice vinegar, and a little jarred minced ginger until well blended.
Heat a wok or large frying pan over high heat for about 1 minute until hot.
Add the peanut oil and heat for about 1 minute, then add the sliced ginger and whole garlic cloves and cook, stirring, for 1–2 minutes until fragrant but not browned; remove and discard the ginger and garlic slices.
Add the sliced chicken to the hot pan and stir-fry constantly for about 4 minutes until the chicken is nearly cooked through and just beginning to brown.
Add the red pepper strips and halved sugar snap peas and continue to stir-fry for 2–3 minutes until the vegetables are crisp-tender.
Stir in the sliced green onion and cook for about 1 minute, keeping everything moving in the pan.
Pour in the prepared sauce and stir constantly for 2–3 minutes until the sauce slightly thickens and evenly coats the chicken and vegetables.
Remove from heat and serve hot.