Dry the chicken pieces with paper towels and season each piece generously with salt and pepper.
Warm the olive oil in a large skillet over medium-high heat and cook the chicken in portions until each side has a golden crust and the inside is cooked, about 3 to 4 minutes per side; remove the chicken and set aside.
Turn the heat down to medium and add the butter to the skillet; once melted, stir in the minced garlic and cook just until fragrant, about 30 seconds.
Mix in the Dijon mustard, fresh lemon juice, lemon zest, red pepper flakes, smoked paprika, chopped parsley, and thyme, stirring everything together thoroughly.
Place the cooked chicken back into the skillet, toss it thoroughly in the butter sauce, and let it simmer gently for 1 to 2 minutes so the flavors meld.
Sprinkle additional parsley on top and serve immediately with lemon wedges for squeezing over the bites.