In a large pan over medium heat, add olive oil and a tablespoon of butter. Once the butter is melted, brown the chicken for 2-3 minutes on each side.
Add the onion, garlic, and pineapple chunks to the pan. Sauté with the chicken for 3 minutes.
Add the pineapple juice, relish, salt and pepper to taste, and fish sauce if using to taste. Cover the pan and simmer over medium-low heat for 5 minutes.
Dice the ½ tablespoon of butter into small cubes. Place the shredded cheese on top of the chicken and garnish with the sliced red chili peppers if using. Add the diced butter spread out in the pan. Cover for 3 minutes.
Remove the cover from the pan. Season with salt and pepper and additional fish sauce if using. Cook until the desired liquid level is achieved for another couple minutes. Enjoy!