Place the turkey, arugula, basil, oregano, egg, garlic, salt, pepper, and sundried tomatoes into a medium-sized mixing bowl and mix until well combined. Next, add in the feta crumbles and mix gently until incorporated.
Divide mixture evenly into 12 balls, forming balls by rolling in your hands. While forming balls, try to keep the feta away from the exterior of the ball. If you see some feta on the edge, push in with your finger and reform mixture. Cheese on the exterior will melt while sautéing and will burn and make your pan messy.
Place a large nonstick skillet over medium/high heat and add 1 tsp of oil. Arrange balls in a single layer with space in between. Brown the balls on all sides, turning frequently, until fully cooked through, about 15-20 minutes.