Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper for easy cleanup.
Scrub the potato and carrots clean, then dice the potato into 1/2-inch cubes and slice the carrots into 1/4-inch rounds.
In a large mixing bowl, toss the diced potatoes and carrots with the olive oil, sea salt, black pepper, garlic powder, and dried thyme until well coated.
If using sausage links, slice them into 1-inch rounds; if using bulk sausage, roll into small 1-inch balls.
Spread the seasoned vegetables and the sausage pieces in a single layer across the prepared baking sheet.
Roast for 20 to 25 minutes, tossing the ingredients halfway through, until the potatoes are tender and the sausage is beautifully caramelized.
Remove from the oven and serve immediately while the vegetables are crisp and the sausage is hot.