Preheat the oven to 425°F (220°C).
Lightly grease a baking dish or sheet pan with olive oil and place the salmon fillet inside. Allow the salmon to rest at room temperature while preparing the sauce.
In a food processor, combine the chopped garlic, cilantro, olive oil, fresh lime juice, and a pinch of kosher salt.
Blend until the mixture forms a smooth, vibrant green sauce.
Season the salmon lightly with kosher salt and freshly ground black pepper.
Spoon a generous amount of the garlic cilantro sauce over the salmon, spreading it evenly across the top. Reserve the remaining sauce for serving.
Arrange the tomato slices and lime slices evenly over the salmon.
Bake in the upper half of the oven for approximately 8–12 minutes, depending on the thickness of the fillet, until the salmon flakes easily with a fork or reaches an internal temperature of 125–130°F (52–54°C).
Remove the pan from the oven and loosely cover it with aluminum foil. Let the salmon rest for 5–8 minutes before serving.
Serve the Cilantro Lime Salmon with the reserved garlic cilantro sauce spooned over the top.