Preheat large skillet on medium-high heat and swirl 1 tablespoon of oil to coat. Add chicken, a bit of salt and pepper and cook for 10 minutes, stirring a few times and allowing it to brown a bit. Transfer to a plate and set aside.
Return skillet to the heat and swirl remaining oil. Add jalapenos and garlic and cook for 1 minute, stirring often. Then add chicken broth and deglaze the pan.
Add previously cooked chicken, rice, lime juice and zest, cumin, salt and pepper. Stir, cover and bring to boil. Reduce heat to low and simmer for 12 minutes.
Taste, and if rice is ready turn off heat or cook for a few more minutes. You can also add more chicken broth if you want more saucy dish.
Add cilantro, gently stir and serve hot.
Notes
Store: Refrigerate leftovers in an airtight container for up to 5 days.