1 each poblano chile – roasted, peeled, deseeded, and sliced
2 tbsp fresh epazote leaves – chopped
1 tsp kosher salt
12 ounces Oaxaca cheese – shredded
8 pieces corn tortillas
salsa verde – for serving
lime – cut into wedges (for serving)
Instructions
Place the boneless skinless chicken breasts in a saucepan, cover with water by 1 inch, bring to a bare simmer over medium heat, and cook until just cooked through (165°F), 12–15 minutes; drain, cool briefly, and shred.
Heat the neutral oil in a large skillet over medium heat; add the white onion and poblano chile (roasted, peeled, deseeded, and sliced) and cook until tender, 5–7 minutes, then add the shredded chicken and fresh epazote leaves, sprinkle in the kosher salt, and toss until hot, 2–3 minutes; scrape the filling into a bowl.
Warm the corn tortillas on a dry skillet or comal over medium heat until pliable, 30–45 seconds per side; sprinkle half of the Oaxaca cheese over one side of each tortilla, add the chicken mixture evenly, then top with the remaining cheese and fold each tortilla into a half-moon.
Return the skillet to medium heat and cook the quesadillas in batches until the tortillas are spotty-golden and the cheese is melted, 2–3 minutes per side; transfer to a board and rest 1 minute, then cut if desired.