In a 12-inch skillet, heat olive oil over medium heat. Sear the sausage links, browning on all sides. Remove the sausages from the skillet and set aside.
Without wiping out the skillet, add the onion and bell peppers. Saute until veggies begin to soften. Add the garlic and saute 1 minute longer.
Add the chicken broth and red wine vinegar to the pan and bring to a simmer, scraping any browned bits from the pan to deglaze it. Stir in the tomato paste and oregano and simmer until the liquid is reduced.
Place the sausages back into the skillet and roast in a 400°F oven until the sausages are cooked through (register 160°F on a digital thermometer), about 10-15 minutes.