Heat the olive oil in a skillet over medium high heat on the stove.
Add the chicken breasts to the heated skillet, and season on both sides with salt, pepper and garlic powder to taste.
Saute until the chicken is browned on both sides and cooked through.
Remove the chicken from the skillet, and reduce the heat to medium.
Stir in the jalapeno, and saute until beginning to soften.
Whisk in the salsa verde and heavy whipping cream. Stir to combine, and saute until the sauce begins to thicken.
Return the chicken to the skillet, and toss to coat in the sauce.
Sprinkle the cheese on top of the chicken, and cover with a lid until the cheese is melted.
Garnish with sliced jalapenos before serving.