The English peel comes from the Latin pilus, meaning “hair”, from which we get the Spanish for “hair,” pelo.
More interesting, however, is its Spanish cousin, piel, meaning “skin,” from the related Latin pellis, meaning “hide”.
Your skin, after all, is just a thin covering of your body — just when you peel the skin off of the apple.
The p‑l root is easily visible in all of these.