1. Season chicken liberally with seasonings.
2. Meanwhile, heat olive oil in a saucepan. Sauté the shallot and ginger over medium heat until translucent. Add the vinegar and sugar and bring to a boil to dissolve sugar. Allow to cool slightly.
3. Grill chicken on outside grill or in a grill pan until golden brown on both sides. (Remember it continues to cook when you take it off the heat, so remove it a bit earlier than when you think it should be ready.) Cover with foil while you finish preparing the dressing.
4. In the same pan, grill peaches. Add to the cooled dressing mixture. Allow to sit and soften in dressing for about a minute before spooning over chicken. Garnish with chopped cilantro. Serve immediately.