Mix oregano, thyme, and salt in a bowl with EVOO. Toss in chicken cutlets and coat well.
Heat a skillet and add chicken. Cook 3-5 minutes per side, until each side is browned.
Transfer chicken to a plate lined with paper towels to drain excess oil.
Leave the skillet as is and add in shallots, and cook for 2 minutes. Next Add in mushrooms, cook another 2 minutes, and then add garlic, and cook another 2 minutes.
Mix the wine and the chicken broth together and mix well. Add to the skillet and bring to a boil.
Once boiling, lower the heat to a simmer, add the chicken back in, and cook about 10 minutes, until the sauce begins to thicken.
On a separate plate, place the arugula leaves . Plate the chicken cutlets and mushrooms over the greens, pouring the thickened Marsala sauce as well.
Allow the arugula to wilt from the heat of the sauce and serve immediately.