Cube both cheeses into bite-sized pieces.
Arrange the cheese cubes inside a large glass container.
Combine olive oil, garlic, jalapeño, oregano, cumin, paprika, cilantro, parsley, lime zest, lime juice, salt, pepper, and red pepper flakes.
Whisk until fully combined.
Pour the marinade evenly over the cheese.
Gently stir to coat every cube.
Cover the container tightly.
Refrigerate for at least 8 hours.
Stir once or twice while marinating.
Allow the cheese to sit at room temperature for 20 minutes before serving.