Pound ground beef into a large skillet over medium-high heat and cook until evenly browned, and drain off grease.
Add taco seasoning, and cook according to package directions. Set aside.
Heat oil in a large skillet, or preheat a deep-fryer to 375 degrees F (190 degrees C).
On a clean surface, lay out one flour tortilla at a time, and place a little more than a tablespoon of the ground beef in the center. Top with a small spoonful of green chilies, and a little bit of shredded cheese.
Roll up and seal the edges with a toothpick. Repeat with remaining tortilla sheets.
Fry the rolls in the hot oil until golden brown on all sides, about 5 minutes.