In a large ovenproof skillet, heat oil over medium-high heat.
Sprinkle ¾ teaspoon salt and ½ teaspoon pepper all over chicken. Cook chicken until browned on both sides, 5 to 7 minutes. Remove chicken from pan.
Add onion and mushrooms to skillet; cook, stirring occasionally, until tender, 10 to 15 minutes. Stir in garlic and flour; cook over medium heat, stirring constantly, for 2 minutes. Stir in marsala, vinegar, lemon juice, remaining ½ teaspoon salt, and remaining ¼ teaspoon pepper. Return chicken to skillet; arrange figs in sauce around chicken.
Bake until an instant-read thermometer inserted in thickest portion of chicken registers 165°, 30 to 40 minutes.
Recipe by Paula Deen Magazine at https://pauladeenmagazine.com/chicken-marsala-with-figs/