Pound chicken to even ¾ inch thickness.
Season with salt and pepper.
Dredge in flour. Shake off excess.
Heat olive oil in large skillet over medium-high heat.
Cook chicken 5 to 6 minutes per side until golden and done (165°F).
Transfer to plate. Cover with foil.
Melt butter in same skillet over medium-high heat.
Add mushrooms. Cook 6 to 8 minutes until golden. Do not stir too much.
Add garlic. Cook 30 seconds.
Add chicken broth. Scrape up brown bits.
Add cream, thyme, salt, and pepper. Stir.
Simmer 3 to 4 minutes until sauce thickens.
Return chicken to pan. Spoon sauce over.
Reduce to low. Cover. Simmer 2 to 3 minutes.
Sprinkle with parsley. Serve hot.