Potion of Healing (DMG, page 187): You regain hit points when you drink this potion.
Potions (DMG, page 139): Drinking or administering a potion to another character requires an action.
As answered here, it is possible to administer a potion to a creature as an action, even if it is unconscious. This makes sense to me, because drinking/administering a potion just takes some time. But that's not an inherent feature of the potion of healing itself, because it just says "when you drink this potion", not "as an action you can drink this potion".
Goodberry on the other hand states that a creature has to use its action to eat one of the berries.
Am I correct to assume, that one such berry cannot be administered to an unconscious creature? Because the unconscious creature cannot take an action, and administering the berry seems impossible.