Preheat a gas grill to medium-high (400°F to 450°F) on 1 side, or push hot coals to 1 side of a charcoal grill. Place sausage links on the oiled grates over the unlit side of the grill.

Cover and grill until a thermometer inserted into the thickest portion of the sausage registers 150°F, 8 to 10 minutes, turning halfway through cook time.

Move sausage to the lit side of the grill; grill uncovered, turning once halfway through, until browned and a thermometer inserted into the thickest portion of the sausage registers 160°F, 1 to 2 minutes. Serve as desired.

Preheat oven to 350°F. Line a large rimmed baking sheet with aluminum foil or parchment paper.

Arrange sausage links in an even layer, with at least 1 inch between each link on the prepared baking sheet.

Bake in the preheated oven until a thermometer inserted into the thickest portion of the sausage registers 160°F, about 20 minutes. Serve as desired.

Place sausage links in an even layer, with at least 1 inch between each link in a medium, high-sided skillet with about 1/4 inch water. Bring to a gentle simmer over medium-high heat, about 5 minutes.

Reduce heat to medium to maintain a simmer; cover and cook undisturbed until a thermometer inserted into the thickest portion of the sausage registers about 130°F, 6 to 8 minutes.