1Mix the ground venison with mayonnaise, Worcestershire sauce, Dijon mustard, garlic powder, onion powder, salt, and pepper. Form into four evenly sized patties and create a small dimple in the middle.
2Prepare a grill for two-zone grilling at 400-425°F.
3Melt butter in a grill-safe saucepan on the indirect heat side of the grill. Add minced garlic and cook for 30 seconds.
4Stir in heavy cream and Italian seasoning. Cook for 4-5 minutes before adding Parmesan cheese. Stir periodically while cooking.
5Add burger patties to the direct heat side and grill for 4-5 minutes per side, ensuring an internal temperature of 160°F. Top with sliced cheese during the last minute of grilling.
6Assemble the burgers on buns. Pour the garlic Parmesan sauce onto a serving platter, add the burgers and fries, and garnish with chopped parsley and extra grated Parmesan.