Combine flour, salt and pepper. Mix well.
Dredge chicken in seasoned flour. Shake off excess.
In saute pan over medium-high heat, heat oil. Add chicken. Saute until golden brown, 3 to 4 minutes on each side. Remove chicken from pan and reserve.
To same pan, add mushrooms and red pepper. Sauté 3-4 minutes.
Add garlic. Saute 30 seconds. Stir in wine and a little broth; stir well to deglaze pan.
Add rest of broth and lemon juice. Bring to a boil. Reduce heat.
Return chicken to pan. Add artichokes and lemon zest. Simmer until internal temperature of chicken reaches 165 F, 10 to 15 minutes. Remove from heat. Stir in tarragon.