Bring a large pot of salted water to a boil and add tortellini. Cook according to package directions, drain, rinse with cold water, and place in a large serving bowl.
While pasta is cooking, heat olive oil in a large sauté pan to medium heat and add chicken sausages. Cook 7-9 minutes, rotating frequently, until golden brown on all sides. Internal temperature should be 165 degrees. Remove sausages to plate. Once cool to the touch, place on cutting board and slice.
Add diced cucumber, halved grape tomatoes, halved kalamata olives, cubed feta cheese, sundried tomatoes, and mint to the bowl with the tortellini. Add sliced chicken sausage.
Drizzle the dressing over the ingredients and toss. Add salt and pepper and top with lemon zest.