Sear Chicken: Season the chicken with salt, pepper, and oregano. Sear in olive oil and butter over medium-high heat for 5 minutes per side. Remove to a plate.
Aromatics: Lower heat to medium. Add minced garlic to the skillet and cook for 30 seconds until fragrant.
Build Sauce: Pour in the chicken broth and banana pepper juice, scraping up any browned bits. Whisk in the softened cream cheese and heavy cream until smooth.
Simmer: Stir in the pickled peppers. Return the chicken to the skillet. Simmer for 5 to 7 minutes until the chicken reaches 165 degrees Fahrenheit.