こちらに保冷剤をいただけますか？ — Could I get an ice pack for this (item)? (Convenience · Store, Formal — to staff, JLPT N4)

Gesture & etiquette

Hold up the cold item (e.g., dessert, drink) you want the ice pack for.

Don't expect large ice packs or a specific type; usually, they provide a small gel pack. Some stores might charge a small fee, but it's rare for basic ones.