While you have all your ingredients out, start by preparing the tzatziki sauce first since it benefits from sitting. In a small bowl, combine the yogurt, minced garlic, grated cucumber (squeezed dry in a paper towel to remove excess moisture), dill, fresh mint, lemon juice, and salt. Mix until smooth and set aside at room temperature. This allows the flavors to meld while you work on the chicken. Next, prepare all your fresh toppings: dice the tomatoes into 1/2-inch pieces, thinly slice the red onions into half-moons, dice the cucumber, and chop the cilantro. Place each in its own small bowl so everything is ready to assemble quickly.
In a medium bowl, combine the 1-inch chicken chunks with the olive oil, 4 tbsp lemon juice, paprika, oregano, basil, cumin, salt, and pepper. Toss well to coat all pieces evenly, and let sit for at least 10 minutes to allow the flavors to penetrate the meat—this is crucial for developing authentic gyro flavor. While the chicken marinates, start cooking your quinoa according to package directions if using. When the chicken has marinated, heat a large skillet over medium-high heat. Once hot, add the chicken in a single layer (work in batches if needed to avoid crowding the pan, which prevents proper browning). Sear for 12-15 minutes, stirring occasionally, until the chicken reaches an internal temperature of 165°F and develops golden-brown edges. I like to let each piece sit undisturbed for a minute or two before stirring—this creates more flavorful caramelization.
Once the chicken is cooked and the quinoa is ready, start building your bowls. Begin with a base of romaine lettuce, then add a portion of cooked quinoa from Step 2. Top with the warm seasoned chicken from Step 2, then arrange the fresh toppings you prepared in Step 1: diced tomatoes, cucumber, red onions, and olives. Sprinkle the feta cheese over the top and finish with a generous dollop of the tzatziki sauce from Step 1. Garnish with the cilantro and serve immediately while the chicken is still warm.