Using a paper towel, pat the fish to remove excess moisture.
Combine the flour, paprika, garlic powder, onion powder, salt, and pepper on a plate. Make sure the plate is large enough to hold the filets. Mix well.
Dredge each side of the filets in the seasoned flour mixture. Shake lightly to remove excess flour. Make sure you coat each side evenly.
Heat a large skillet on the stove on medium-high heat. Add the olive oil and butter to the pan. Cook until the butter melts.
When the butter melts, and the skillet is hot, add the seasoned yellowtail snapper filets to the pan, skin-side down. Cook for 3-4 minutes on each side until the fish develops a golden-brown crust and becomes opaque and flaky in the center.
During the last minute of cooking, add the crushed garlic to the pan and cook briefly until fragrant. Be careful not to burn the garlic.
Drizzle the fresh lemon juice over the pan-seared yellowtail snapper filets, coating them evenly.
Transfer the cooked yellowtail snapper filets to serving plates and garnish with chopped fresh parsley.
Serve the pan-seared yellowtail snapper hot with lemon wedges on the side.