Preheat grill to medium-high heat.
In a bowl, combine garlic cloves, lemon juice, chopped parsley, olive oil, salt and pepper. Marinate the emu breast fillet for at least 30 minutes or up to an hour in the refrigerator.
Remove marinated meat from fridge and let it come to room temperature for about 20-30 minutes before grilling.
Grill each side of the emu breasts for approximately 4-5 minutes, until internal temperature reaches a safe level (165°F or 74°C).
Rest meat for at least 10 minutes before slicing and serving.