Season chicken pieces with salt, pepper, and dried thyme on both sides.
Set up a coating station with flour in one dish and finely chopped walnuts in another.
Dredge each piece of chicken in flour, shaking off excess, then press firmly into chopped walnuts to coat completely.
Heat olive oil in a large pan over medium-high heat.
Cook chicken pieces until golden brown and cooked through, about 6-8 minutes per side depending on thickness.
While chicken cooks, whisk together honey, Dijon mustard, white wine, and minced garlic in a bowl.
Pour the glaze mixture over the cooked chicken in the pan.
Simmer briefly for 2-3 minutes, turning chicken to coat evenly with the glaze.
Remove from heat and serve immediately with fresh parsley garnish if desired.