The phrase "appoint at least" is correct and usable in written English.
It can be used when specifying a minimum number of appointments or designations required for a task or role.
Example: "The committee decided to appoint at least three members to oversee the project."
Alternatives: "designate a minimum of" or "assign no fewer than".
At first they wanted to require firms to appoint at least one independent director.
He is calling on Japanese corporations to appoint at least one woman to their boards.
The next president will undoubtedly appoint at least one and possibly up to three new Supreme Court justices.
Under a system borrowed from Germany, Japanese firms must appoint at least three internal auditors to keep an eye on financial management and guard shareholders' interests.
It's likely that whoever is elected President will have the opportunity to appoint at least two Justices to the Supreme Court.
His wife promised that if he was elected, he would advance women's rights and appoint "at least two or three women" to the cabinet.
The government also appointed at least five new ministers to economic posts in its cabinet, in what analysts said was an attempt to revive the nation's economy after losing South Korean aid amid frayed ties.
Under the proposed changes to its royal charter, the BBC Trust will be replaced by a unitary board, with the BBC responsible for appointing at least half of the members and the government no more than six.
WASHINGTON — The Justice Department has appointed at least 30 former prosecutors and other government officials as well-paid corporate monitors in arrangements that allow companies to avoid criminal prosecution, according to government data released Thursday by Congress.
Officials from the three agencies testified that Gov. George E. Pataki, who appoints at least half the members of their respective boards, worked with the agencies to devise the lists of projects.
