Fry bacon until very crispy, drain on paper towels and set aside for later.
Season the chicken generously with salt and pepper. Dredge each piece in flour, ensuring a light, even coating. Shake off any excess flour.
Heat the olive oil and 1 tablespoon of butter in a skillet over medium-high heat. Once the pan is hot, sauté the chicken for 4-5 minutes per side, until golden brown.
Remove the chicken from the skillet and set it aside.
Lower the heat to medium and add the remaining butter to the pan. Once melted, add the garlic cloves and sauté for 3-4 minutes, stirring frequently, until the garlic is lightly browned.
Deglaze the pan by adding ½ cup of white wine, scraping up any browned bits from the bottom.
Stir in the chicken bouillon, grainy mustard, and lemon juice. Bring the mixture to a boil and let it simmer for about 5 minutes, allowing it to slightly thicken.
Add the cream, half of the parsley, and the dried thyme to the pan, then return the chicken to the skillet. Continue cooking for another 20 minutes (for bone-in chicken), or until the sauce has reduced and the chicken is fully cooked. The sauce should lightly coat the back of a spoon.
Taste the sauce and adjust the seasoning with salt and pepper if necessary.
Garnish with the remaining fried crumbled bacon and parsley and serve.