My first impulse is sage and thyme. But you can shift the feel of chicken soup or salad by using other herbs. I think basil, especially lemon basil, brightens both and goes especially well if tomato is a component. Rosemary also work with chicken in salad, and you can just roast the salad chicken with rosemary to get the effect. Perhaps not so much in soup.
"Kitchen duty is awarded only to those of manifest excellence..." - The Master, Dogen