Heat oven to 425°F. Heat 1 tbsp. oil in large skillet over medium-high heat. Season chicken breasts with Adobo and paprika; add 3 breasts halves to skillet, skin-side down. Cook until skin is dark golden brown and crisp, about 8 minutes. Transfer chicken to plate skin-side up and repeat with remaining oil and breasts.
Add sherry vinegar to same skillet; return to heat; bring vinegar to boil, scraping up any bits from bottom of pan. Add chickpeas in sauce and cherry tomatoes to skillet. Bring liquid from beans to boil, stirring occasionally. Transfer chickpea mixture to 9”x13” baking dish. Nestle chicken breasts into chickpea mixture skin-side up.
Bake chicken and chickpeas, uncovered, until chicken is cooked through (internal temperature registers 165°F on quick-read thermometer), about 40 minutes. Sprinkle chicken and chickpeas with parsley. Serve.