Whisk together first 4 ingredients in a small bowl; set vinaigrette aside.
Combine breadcrumbs, Parmesan cheese, and sesame seeds. Dip goat cheese slices in egg, and dredge in breadcrumb mixture.
Melt butter in a large skillet over medium-high heat, and add cheese. Fry 1 to 2 minutes on each side or until browned.
Toss mixed greens with vinaigrette; add olives, and top salad with warm cheese slices.