Slice the goat cheese into 1/2-inch rounds and set up a breading station with flour, beaten egg, and breadcrumbs.
Dredge each goat cheese round in flour, dip in egg, and roll in breadcrumbs, ensuring an even coating.
Heat olive oil in a skillet over medium heat and fry the breaded goat cheese rounds for 2-3 minutes on each side until golden brown.
In a large bowl, combine mixed salad greens, cherry tomatoes, cucumber, and red onion. Toss gently.
Drizzle balsamic vinaigrette over the salad and toss until evenly coated. Divide among plates and top with crispy goat cheese.