Bring water to a boil in a large pot. Add asparagus and cook until bright green but still crisp, about 1 minute. Drain and pat dry.
Arrange country ham, asparagus, and strawberries onto a medium-sized serving platter. Garnish with arugula and feta. Drizzle with the balsamic glaze, to taste.
When seeking out prosciutto-style country ham, be sure to look for hams that have been aged at least eight months.