Sausage links take about 15 minutes to cook in a frying pan or on the grill or 25 to 30 minutes to braise and then brown on the grill. The sausage is done when the internal temperature reaches 150 degrees Fahrenheit.
Start frying sausage by heating a small amount of oil in a pan that's large enough to hold the links without overcrowding them. Use medium heat. Add the sausage. Turn the sausage every minute or two until the skin has browned. After 10 to 12 minutes, measure the temperature using a meat thermometer.
To grill the sausage, light one side of a grill, and let it heat on the highest setting. Brown the sausage on the hot side of the grill, and then move it to the cool side and close the lid to allow the links to finish cooking.
Braise the sausage by arranging it in a foil pan to which a small amount of liquid has been added. If accompaniments, such as sauerkraut or peppers and onions, are desired, add those ingredients to the pan, and nestle in the links. Place the pan over high heat, and bring the liquid to a simmer. Braise the sausage, turning occasionally, for about 20 minutes until the internal temperature reaches 150 degrees Fahrenheit. Remove the pan from the grill. Brown the sausage on the hot grill, and add it back to the pan before serving it.