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.