Preheat your oven to 375°F (190°C) and line a baking dish with parchment paper or lightly grease it.
Pat dry the swai fish fillets with paper towels and place them in the prepared baking dish.
In a small bowl, mix together the olive oil, minced garlic, paprika, dried thyme, salt, and pepper.
Brush the seasoned oil mixture over the swai fillets, ensuring they're evenly coated.
Bake the fish in the preheated oven for 15-20 minutes or until the fish is cooked through and easily flakes with a fork.
Once done, remove the fish from the oven and let it rest for a couple of minutes.
Serve the baked swai fish hot, garnished with chopped parsley if desired, and accompanied by lemon wedges for a zesty touch.