Heat the olive oil and butter in a nonstick skillet over medium to high heat. Once hot, add in the carrots, broccoli and onion. Saute for 7-8 minutes until the veggies develop some color on them.
Add in the chicken and stir for another 3 minutes until chicken has some color on it as well. (the chicken won't cook all the way, it will cook the rest of the way when it simmers).
Mix in garlic and parsley and stir for 1 minute.
Then add the rinsed rice and stir so all the rice is coated.
Add broth, oregano, salt, pepper and stir. Bring to a boil (You may need to turn up the heat a tad for it to come to a boil).
Turn the heat to medium low and let simmer, stirring every so often for 25-30 minutes until the rice is cooked.
If you want to keep leftovers, make sure to put in fridge in less than an hour of cooking so it's safe to reheat rice. (I just learned this??) You can store in an airtight container for up to 3 days.
Top with parmesan cheese and enjoy!