Trim the flank steak of any extra fat and silver skin.
In a medium-sized bowl, whisk together olive oil, red wine vinegar, Dijon mustard, minced garlic, smoked paprika, salt, and black pepper. Place the flank steak in the marinade and coat it. Place in the refrigerator for at least 30 minutes.
Heat a large pan or cast-iron skillet over medium-high heat with a drizzle of olive oil. Once hot, cook flank steak 3-4 minutes on each side. Remove from heat and wrap tightly in aluminum foil to rest for 5 minutes.
Place the flank steak on a cutting board and slice into thin strips.
Meanwhile, either cook frozen fries or slice and peel 3-4 russet potatoes into ¼" fries. Heat oil to 375℉ and cook fries until golden and crispy, about 5-6 minutes. Place on a paper towel-lined plate. Season with salt and pepper.
Wrap four fries in a steak strip and secure with a toothpick. Repeat until all of the steak strips are wrapped. Serve with your favorite steak sauce.