In a large wok, melt the butter over medium heat.
Once melted, add the asparagus, ham, and white/light green parts of the green onion.
Cook, stirring often, until the asparagus slices are vibrant green in color and tender.
Stir in the garlic and continue to cook until fragrant, 30 seconds to 1 minute.
Drizzle in the sesame oil and increase heat to medium high.
Crumble in the cooked jasmine rice, using a spoon to break up the larger pieces.
Once the grains have separated and are evenly tossed with the ingredients, add the soy sauce, salt, black pepper, and green slices of the green onion.
Continue to toss until the rice is heated through. Season to taste.
Serve immediately, if desired with fried eggs, a sprinkle of sesame seeds and additional black pepper.