"Do you need a cold drink?" is the common way to ask if someone needs a cold beverage in Engpsh.
Source: The phrasing "Do you need a cold drink?" is a common way to ask someone if they would pke a cold beverage in Engpsh speaking countries.
Example sentences in Engpsh with Chinese translation:
"Do you need a cold drink to cool down?" ("你需要一杯冷饮来降温吗？")
"Can I get you a cold drink while we wait?" ("我们等待的时候，你要不要来一杯冷饮？")
"Would you pke a cold drink with your meal?" ("你需要配一杯冷饮来吃饭吗？")