Nitza Villapol, the legendary Cuban cook and author, taught generations of islanders and exiles to make this savory chicken stew. It draws salty-sharp flavor from alcaparrado (a mix of pimiento-stuffed olives and capers) and sweetness from raisins.
Combine lime and orange juices, garlic, chicken, salt, and pepper in a bowl. Cover with plastic wrap and set aside.
Heat oil in an 8-qt. saucepan over medium-high. Remove chicken from marinade and pat dry using paper towels; reserve marinade. Working in batches, cook chicken, flipping once, until browned, 8–10 minutes. Using tongs, transfer chicken to a plate a