Preheat oven to 375 degrees Fahrenheit (190 degrees Celsius).
In a medium bowl, combine the chopped spinach, softened cream cheese, Parmesan cheese, and half of the minced garlic until thoroughly mixed.
Using a sharp knife, cut a horizontal slit into the thickest part of each chicken breast to create a pocket, taking care not to cut all the way through.
Stuff the spinach and cheese mixture evenly into the pockets of the four chicken breasts. Secure the openings with toothpicks if necessary.
In a small bowl, combine the salt, pepper, paprika, and remaining minced garlic. Rub this seasoning mixture over both sides of the chicken breasts.
Heat the olive oil in an oven-safe skillet over medium-high heat. Sear the chicken for 3 to 4 minutes per side until a golden-brown crust forms.
Transfer the skillet to the preheated oven and bake for 15 to 20 minutes, or until the internal temperature reaches 165 degrees Fahrenheit (74 degrees Celsius).
Remove from the oven and let the chicken rest for 5 minutes before removing toothpicks and serving.