Season on both sides with 1/2 tbsp dried oregano, and 1/2 tsp black pepper.
Coat the chicken cutlets with the flour; dust off excess. Set aside briefly.
Heat 2 tbsp olive oil in a large skillet with a lid.
Brown the chicken cutlets on each side (approx 3 minutes per side). Transfer the chicken to a plate.
In the same skillet, add more olive oil if needed. Add the mushrooms and saute briefly on medium-high (about 1 minute or so).
Then add the tomatoes, garlic, the remaining 1/2 tbsp oregano, and 1/2 tsp pepper, and 2 tsp flour. Cook for another 3 minutes or so, stirring regularly.
Now add the white wine, cook briefly to reduce just a little; then add the lemon juice and chicken broth.
Bring the liquid to a boil, then add the chicken back in the skillet. Cook over high heat for 3-4 minutes, then reduce the heat to medium-low.
Cover and cook for another 8 minutes or until the chicken is fully cooked and its internal heat is 165 degrees F.