Heat oil in a large skillet over medium heat. Add potatoes and sauté for 5 minutes, covered.
Remove lid and season potatoes generously with salt.
Add paprika, chili powder, cayenne pepper and red pepper flakes and continue sautéing until potatoes are tender and slightly crisp., about 5 to 7 minutes. Stir occasionally to prevent potatoes from burning.
During the last minute of cooking, add garlic and sauté. Season with salt, as needed. Remove from heat and stir in fresh parsley.