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1
Place rack in middle of oven; preheat to 425u00b0F. Mix mayonnaise, pepper, paprika, 2 chopped garlic cloves, and 1 1/2 tsp. salt in a medium bowl.
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2
Pat inside and outside of chicken dry. From edge of cavity, loosen skin from breasts and thighs. Push all but 2 Tbsp. mayonnaise mixture under skin, then gently rub outside of skin to evenly distribute over breasts and legs. Tie together legs with kitchen twine. Transfer chicken to a rimmed baking sheet and roast 25 minutes.
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3
Meanwhile, toss potatoes and radishes in bowl with reserved mayonnaise mixture.
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4
Reduce oven temperature to 400u00b0F. Remove pan from oven, arrange potatoes and radishes in a single layer in pan, and continue to roast until potatoes and radishes are crisp-tender and chicken juices run clear when thigh is pierced with a fork and an instant-read thermometer inserted into the thickest part of the thigh registers 165u00b0F, 18-20 minutes more.
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5
Meanwhile, pulse cilantro, parsley, oil, lemon zest, lemon juice, 1 1/2 cups radish tops, 1 Tbsp. water, and remaining 2 garlic cloves and 1/2 tsp. salt in a food processor until coarsely chopped.
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6
Transfer chicken to a cutting board; let rest 15 minutes. Carve, serve with potatoes and radishes, and top with salsa verde.
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7
Salsa verde can be made 4 days ahead. Transfer to a resealable container, cover with a thin layer of oil, and chill.
