In a large saute pan over medium high heat, add oil. Once hot add sausage. Saute for 5 minutes (you want to get a little color on it). Remove from pan.
Reduce heat to medium and add butter. Once melted, add onions, garlic, half of salt, pepper, paprika and parsley. Saute until onions are translucent.
Add potatoes and toss to coat. Then add broth and remaining seasoning.. Do you best to submerge all potatoes in broth. Bring just to a bubble and reduce heat to medium low. Place lid on but leave askew and cook for 15 minutes.
Remove half a cup of pan sauce and whisk with cornstarch. Return to pan and stir to combine. Add sausage back to pan and stir in. Cook another 10 minutes.