Fill a large pot with lightly salted water and bring to a rolling boil over high heat. Stir in pasta and return to a boil. Cook, stirring occasionally, until cooked through but still firm to the bite, about 13 minutes; drain.

Meanwhile, heat vegetable oil in a large skillet over medium-high heat. Add onion, orange pepper, and garlic; cook and stir until tender, about 5 minutes. Stir in Italian sausage; cook and stir until browned and cooked through, about 8 minutes. Stir in undrained tomatoes and heavy cream; reduce heat to medium-low and cook 5 minutes more.

Mix pasta into sauce; stir in the Parmesan cheese and garnish with fresh parsley.