I'll call the restaurant and make a reservation.

我要给饭店打个电话预订座位。

《牛津词典》

A reservation service may need access to scheduling information, while a shipping service may need to call said reservation service to arrange for a particular inventory item to be sent to a customer.

一个预定服务可能需要有权安排信息，而一个发货服务可能需要调用上述的预定服务来安排一个特定的发送给客户的存货条目。

youdao

Is this a new reservation or a confirmation call?

请问这个电话是新的预订，还是确认预订？

youdao

Get the number of the table so you can refer to it when you call for a reservation.

FORBES: Magazine Article

Far from being inaccessible, though, travellers just need to know where to look -- and have the foresight to call in advance for a reservation.

BBC: Hong Kong��s secret nightlife spots

He confirmed there are no special discounts but that Delta did give passengers a 300-mile credit for the reservation, and call-center agents get points toward perks.

FORBES: The Delta Air Lines Hotels.com Deal Is No Deal