Pat chicken dry. Place in bowl or plastic bag. Pour eggs over the chicken. Cover and chill one to two hours.
Drain chicken. Dredge in breadcrumbs. Melt 2 T butter in an oven proof (see note) skillet or braiser over medium heat. Add chicken and cook until just brown on first side, about 3 minutes. Add additional tablespoon of butter, turn and brown the second side. Transfer to a plate.
Melt remaining 2 T butter in same skillet. Add mushrooms and cook until soft. Return chicken to the pan, spoon mushrooms over the top and Add broth to the pan. Cover and bake at 425 until chicken is cooked through, about 20 minutes. This will vary with the thickness of the chicken breasts, so check the temperature with a meat thermometer.
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Notes
If you don't have an oven proof skillet or braiser, you can transfer the chicken and mushrooms to a baking pan before you put it in the oven. (Be sure handles/lids can take the heat too).
Nutrition
Calories: 379kcal
I am not a health professional and nutrition data is calculated programatically. Accuracy may vary with product selection, calculator accuracy, etc. Consult a professional for the best information.