Prepare the broccoli rice by pulsing the florets in a food processor until they reach a fine, rice-like consistency.
Season the chicken breast evenly on both sides with sea salt, black pepper, and dried thyme.
Heat the olive oil in a large skillet over medium-high heat until shimmering.
Place the chicken in the skillet and sear for 6-7 minutes per side until the exterior is golden and the internal temperature reaches 165 degrees Fahrenheit.
Remove the chicken from the pan and let it rest on a cutting board for 5 minutes.
In the same skillet, add the minced shallot and garlic, sautéing for 2 minutes until softened and fragrant.
Add the processed broccoli rice to the skillet and sauté for 3-4 minutes, stirring frequently until tender but still bright green.
Stir in the lemon zest and lemon juice to brighten the broccoli rice.
Slice the rested chicken breast into strips and serve immediately over the warm, citrusy broccoli rice.