Add the flour, salt, one tablespoon oil to a bowl/stand mixer. Sprinkle water and knead to a smooth dough. Rest for 15 minutes. Divide it into 8 equal portions.
Pulse the frozen edamame in the food processor for 2 minutes until a coarse texture is achieved.
Heat one tablespoon oil in a pan and add cumin followed by asafetida and fry for 20-30 seconds. Then add the ginger and garlic and fry for 40 seconds. Add the edamame and saute for 2-3 minutes. Add salt and saute for 2 more minutes. cool the mixture.
Transfer to a plate or a bowl. Add the toasted sesame seeds and cilantro and combine. Divide it into eight equal portions.
Take a portion of the dough and shape into a 5-in circle.Place a edamame portion and gather the ends to seal it into a ball. Dust with flour as necessary and flatten it into a disc of 8-9inches diameter. Repeat with the remaining dough portions.
Heat a cast iron pan. Place a paratha and cook for one and a half minute. Flip and brush the top side with oil, cook for 1 minute. Flip again and cook for 30 seconds and brush the top side with oil. Transfer to a plate. Repeat with the remaining parathas.
Serve warm with spicy pickle or dal.