Preheat your grill or a heavy grill pan over medium-high heat.
In a small bowl, whisk together the olive oil, lemon juice, lemon zest, minced garlic, dried oregano, sea salt, and black pepper to create the marinade.
Brush the marinade generously over all sides of the salmon fillet and let it marinate for 5 minutes at room temperature.
Trim the woody ends off the asparagus spears and toss them with the melted ghee and a tiny pinch of salt.
Place the salmon on the grill skin-side down and cook for 4 to 5 minutes without moving it to ensure a good sear.
Add the asparagus spears to the grill alongside the salmon, turning them occasionally as they cook.
Carefully flip the salmon and cook for an additional 3 to 4 minutes until the flesh is opaque and flakes easily with a fork.
Remove the salmon and charred asparagus from the grill and serve immediately with an extra squeeze of fresh lemon if desired.