Season chicken breasts with salt, pepper, and oregano.
Heat olive oil in a large skillet over medium-high heat and sear chicken for 6-7 minutes per side until internal temperature reaches 165°F (74°C). Remove chicken and set aside.
In the same skillet, add minced garlic and sauté for 1 minute until fragrant.
Add chicken broth and lemon juice to the skillet, scraping the bottom to deglaze.
Pour in heavy cream and stir in Parmesan cheese, simmering for 3-5 minutes until the sauce thickens slightly.
Place the trimmed asparagus into the skillet and cook for 4-5 minutes until tender-crisp.
Return chicken to the skillet, spooning sauce over the meat, and heat for an additional 2 minutes.
Garnish with fresh parsley and serve immediately.