Combine the rice and chicken broth in a medium saucepan. Bring to a boil, then reduce heat to low, cover, and simmer for 15 minutes until the rice is tender and liquid is absorbed.
While the rice cooks, season the chicken strips with salt and pepper. Melt 2 tablespoons of butter in a large skillet over medium heat.
Add the chicken to the skillet and cook for 5 to 6 minutes, stirring occasionally, until browned and cooked through. Remove the chicken to a plate and set aside.
Add the remaining 2 tablespoons of butter and the minced garlic to the same skillet. Cook for 1 minute until fragrant.
Add the asparagus pieces to the skillet and cook for 3 to 4 minutes until bright green and just tender. Return the chicken to the pan.
Stir in the lemon juice and zest. Cook for another minute to warm everything through and coat the chicken and asparagus in the sauce.
Fluff the rice with a fork and divide it among four plates. Spoon the chicken and asparagus mixture over the rice and sprinkle with chopped parsley before serving.