In a small bowl, combine oil, lemon peel, lemon juice, tarragon, pepper, and garlic.
To use, pour marinade over chicken in a resealable plastic bag set in a shallow dish; seal bag. Turn bag to coat chicken. Or pour marinade over chicken in a ceramic or glass bowl or dish. Turn chicken to coat. Cover container.
Marinate chicken in the refrigerator for 1 to 2 hours. Drain chicken, reserving marinade. Brush chicken with marinade halfway through grilling. Discard remaining marinade. Makes 4 (1 tablespoon servings) (enough for 2 pounds chicken).