Cut chicken into bite-sized pieces and mix with olive oil, lemon juice, garlic, smoked paprika, cumin, salt, and pepper. Marinate for 30 minutes to 4 hours.
Thread chicken onto skewers, leaving space between pieces.
Grill over medium-high heat, turning occasionally, until golden and cooked through.
For the salsa, combine diced Meyer lemons, parsley, shallot, olive oil, and a pinch of salt. Let rest for 10–15 minutes.
Serve grilled skewers with a generous spoonful of Meyer lemon salsa on top.