Combine flour, salt, and pepper in a plastic bag. Add the chicken and shake to coat lightly.
Using a large skillet, add 1 tbs of the oil on medium heat. Add the chicken and brown on one side. Don’t let the pieces touch.
Add the other tbs of oil, turn the chicken pieces, and brown well. Remove the chicken to a plate.
Add the butter and onion to the skillet. Cook and stir until the onion softens, 2 or 3 minutes.
Then, stir in the rest of the seasoned flour and stir until all the flour is mixed in. Add the broth and reduce the heat to med-low. Stir in 2 tbs of lemon juice and the thyme. Bring to a boil stirring constantly.
Return the chicken to the skillet and cover the pan. Cook 5-7 minutes more until the chicken is tender and thoroughly done.
Plate the chicken. Stir into the skillet the remaining lemon juice and then pour the sauce over the chicken.8. Garnish with parsley and lemon wedges if you wish.