Clean the mushrooms, remove the stems and scrape out the black gills then slice the mushrooms into ¼ inch strips.
Add the mushrooms and chicken broth to a large non-stick skillet and cook over medium-high heat until the liquid evaporates, about 6 to 7 minutes.
Push the mushrooms to the edge of the pan and add the butter and oil. When the butter melts add the shallot, garlic, thyme, salt, and pepper and cook for 6 to 8 minutes to soften the shallots and brown the mushrooms.
Add the wine and cook for another 2 to 3 minutes to reduce the wine and cook the alcohol off.
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Notes
Use a large skillet: Give the mushrooms plenty of room so the moisture can evaporate and the slices can brown instead of steam.Clean gently: Wipe the mushroom caps with a damp paper towel instead of rinsing them under water to avoid adding excess moisture.Slice evenly: Cut the mushrooms into ¼-inch strips so they cook at the same rate.Be patient: Let the broth cook away completely before adding the butter and oil. This is the key to getting nicely browned mushrooms.Choose a dry wine: Sauvignon Blanc, Pinot Grigio, or an unoaked Chardonnay all work well for deglazing the pan.Don't skip the fond: After the mushrooms brown, the wine loosens the flavorful browned bits from the bottom of the skillet and creates a light pan sauce.