The phrase "solicit orders" is correct and usable in written English.
It can be used in a business context when referring to the act of requesting or seeking orders from customers or clients.
Example: "Our sales team is tasked with soliciting orders from potential clients to increase our market share."
Alternatives: "request orders" or "seek orders."
The publisher would secretly print huge quantities of special Oprah editions of the book, and solicit orders from bookstores.
Despite new electronic technology and the Internet, an expansive range of American businesses remains dependent on the postal system to solicit orders and collect payments.
To Mr. Watson's embarrassment, some aggressive vendors have been using mailing lists to solicit orders from the company's current and former employees.
It may be suggested that the merchant or manufacturer has the post-office at his command, and may solicit orders through the mails.
In the civil aircraft sector, manufacturers conduct detailed market studies to determine the need for new vehicle designs, then define specifications, announce to potential customers their intention to develop the new product, and solicit orders.
The salesmen are furnished with a sample range and a wagon and team, and are sent into such territory in Union or other counties of Arkansas as may be designated by Sutton, to solicit orders for ranges.
The system bug also prevented BATS from soliciting orders on its own stock.
The branch will be permitted to handle un solicited orders during the sus pension period.
Besides, why could not the state to which his letters might be sent, tax him for soliciting orders in this way, as well as in any other way?
It will be time enough to consider whether a non-resident can be taxed for merely soliciting orders without having samples when such a case arises.
Then, as in later life, Mr. Zukor was a bit on the shy side, preferring to stay in the shop to do the cutting while Mr. Kohn solicited orders for furs.
