Preheat your oven to 375°F (190°C).
In a mixing bowl, combine the cream cheese, mozzarella cheese, Parmesan cheese, chopped spinach, chopped artichokes, minced garlic, crushed red pepper flakes, salt, and black pepper. Mix until everything is well combined and creamy.
Heat the olive oil in an oven-safe skillet over medium-high heat. Season the chicken breasts with salt and pepper on both sides, then sear them in the skillet for about 4-5 minutes on each side, until golden brown.
Remove the skillet from heat and spread the spinach-artichoke mixture evenly over the top of the chicken breasts.
Transfer the skillet to the preheated oven and bake for about 20 minutes, or until the chicken is cooked through (internal temperature of 165°F/75°C).
Once cooked, remove from oven and let it rest for a few minutes before serving.
Serve with a side of rice, pasta, or a fresh salad for a complete meal.