Cut the chicken in bite sized pieces and pat dry with paper towels. Toss with the salt and pepper.
Heat the olive oil in a large skillet.
Add the chicken and cook till browning on all sides and move to a plate.
Place the shallot, peppers and broccoli in the same pan and cook till broccoli is thawed.
Add the chicken back to the pan along with the hearts of palm rice, lemon juice, lemon zest, garlic, oregano and parsley.
Stir together well, cover and allow to simmer for 10 minutes, stirring occasionally.
Garnish with more parsley and lemon slices if desired.
Enjoy!