Cook the gnocchi according to package instructions.
Season the chicken breasts with salt, pepper, and smoked paprika. Toss well to ensure each piece is fully seasoned.
Add butter, garlic, parsley, lemon juice, salt, and pepper to a food processor. Pulse for about 30 seconds, or until the mixture is crumbled and no large pieces of garlic remain.
Heat olive oil in a large skillet. Add the seasoned chicken and cook for about 5 minutes, or until golden brown.
Add heavy cream and the garlic butter mixture to the skillet. Cook for another 5 minutes, stirring occasionally, until the butter melts and the sauce thickens.
Add the gnocchi to the skillet and toss everything together, ensuring the gnocchi is fully covered in sauce. Cook for 2 more minutes to warm the gnocchi, then serve warm.