Preheat the oven to 400 degrees F (200 degrees C).
Combine chicken broth, chicken, black beans, corn, and salsa in a pot over medium-high heat; bring to a boil. Reduce heat and simmer, occasionally stirring, for 10 minutes.
Meanwhile, slice tortillas into 1/4-inch strips and spread on a baking sheet.
Bake in the preheated oven until golden brown, about 5 minutes.
Stir cilantro into soup. Ladle into bowls and top with tortilla strips.