Bring 4 quarts of salted water to a rolling boil in a stockpot.
Cook pasta according to manufacturer specifications until al dente; drain and set aside.
Heat olive oil in a large sauté pan over medium-high heat.
Season chicken strips with salt, pepper, and oregano.
Add chicken to the pan and sear until golden brown and the internal temperature reaches 165°F (74°C).
Remove chicken from the pan and reduce heat to medium.
Add minced garlic to the residual oil and sauté for 60 seconds until fragrant but not browned.
Pour in heavy cream and bring to a light simmer for 3 to 4 minutes until slightly thickened.
Whisk in Parmesan cheese until melted and the emulsion is smooth.
Return chicken and cooked pasta to the pan, tossing thoroughly to coat the starch in the cream reduction.
Garnish with chopped parsley and serve immediately.