Preheat oven to 425 degrees. Sprinkle chicken thighs evenly with 2 tsp. salt. Arrange skin side down in a single layer in a large ovenproof skillet with 3 Tbsp. olive oil. Cook, undisturbed over medium-high heat until skin side is crispy and golden brown; about 15 to 20 minutes. Transfer to a plate, reserving 3 Tbsp. of drippings in the skillet. Discard or reserve remaining drippings for another use.
Carefully add potatoes to the reserved drippings in skillet, arranging cut side down in a single layer. Cook over medium-high, undisturbed until browned; about 3 to 5 minutes. Add shallots, garlic, black pepper, 1/2 tsp. oregano, 1/2 tsp. thyme, and remaining 1/2 tsp. salt. Cook stirring constantly, until fragrant and shallots are softened; a couple of minutes.
Add white wine to skillet, and bring to a boil over medium; boil stirring occasionally until slightly thickened and reduced by half; about 3 minutes. Add chicken stock and return the chicken thighs to the skillet placing skin side up on top of the potato mixutre.
Bake in the preheated oven until an instant-read thermometer inserted into the thickest portion of chicken registers 175 degrees. This will be about 15 to 18 minutes.
Add peas and remaining 1 tsp. oregano and thyme. Cook over medium-low, stirring often, until peas are warmed through; about 3 minutes. Remove from the heat and stir in lemon juice. Return potatoes and chicken to skillet. Garnish with flat leafed parsley.