Season salmon fillets with salt and pepper on both sides.
Heat 1 tablespoon of olive oil in a large skillet over medium-high heat; sear salmon for 3 to 4 minutes per side until golden and the internal temperature reaches 145 degrees Fahrenheit.
Remove salmon from the skillet and set aside on a plate.
Add the remaining 1 tablespoon of olive oil to the same skillet and sauté minced garlic and oregano for 30 seconds until aromatic.
Add dry orzo to the skillet and toast for 2 minutes, stirring constantly to prevent burning.
Deglaze the skillet with chicken broth, bring to a boil, then reduce heat to medium-low.
Cover and simmer for 8 to 10 minutes until the liquid is absorbed and the orzo is tender.
Fold in the baby spinach, cherry tomatoes, olives, lemon zest, and lemon juice; stir until the spinach has wilted.
Nestle the cooked salmon fillets back into the orzo mixture and sprinkle with crumbled feta cheese.
Cover for 1 minute to allow the salmon to reheat through before serving.