Set oven broiler to high and place tomatillos, jalapeño, onion, and garlic on a rimmed baking sheet.
Broil vegetables 6 to 8 minutes until skins char and turn soft.⏱ 8 min
Transfer charred vegetables to a blender with cilantro and salt, blending until smooth green salsa forms.
Heat vegetable oil in a 10-inch skillet over medium-high heat until shimmering.
Fry tortilla wedges in batches for 3 to 4 minutes until golden and crisp, then drain on paper towels.⏱ 4 min
Pour blended green salsa into skillet over medium heat and bring to a simmer.
Toss fried tortilla chips into salsa, coating them for 1 to 2 minutes until warm yet still slightly crunchy.⏱ 2 min
Fry eggs in a separate small skillet with a drop of oil over medium heat for 2 to 3 minutes until edges crisp.⏱ 3 min
Divide sauced chips between plates, top with fried eggs, cotija cheese, and drizzled crema.