The phrase "unanimously choose" is correct and usable in written English.
It can be used when describing a decision made by a group where all members agree on a particular choice.
Example: "After much discussion, the committee decided to unanimously choose the new project proposal."
Alternatives: "collectively select" or "agree on".
The new assembly must first vote for a president and two vice-presidents who, in turn, as a presidential council, must unanimously choose a prime minister.
A member of the vacancies committee, George Gilmore, the Republican chairman in Ocean County, said he expected that it would unanimously choose Mr. Franks on Thursday.
But even Communists and monarchists may play a pivotal part.The next step is for the 275-seat assembly to choose, by a two-thirds majority, a three-person presidential council (a president and two deputies) which in turn must unanimously choose a prime minister within a month of the election.
Rawls holds that under these conditions these representatives will unanimously choose principles for the global order that include some basic human rights (for further explanation of the global original position see the entries on John Rawls and original position).
On Wednesday Republican House members unanimously chose Mr. Boehner as their new speaker.
The Winner: We unanimously chose Lily's response to "Rights Unit Finds Bias Against Transgender Student" as our contest winner.
Scholars have unanimously chosen the Synoptic Gospels' version of Jesus' teaching.
A 12-member jury comprised of victims' family members unanimously chose Mr. Schwartz's design.
A nine-member Throne Council unanimously chose Sihamoni as king on Oct. 14, one week after Sihanouk abdicated.
And the trustees, who had unanimously chosen Mr. Goldin as the new president in July, began to reconsider.
The conference coaches unanimously chose Taurasi, a 6-foot swing player, as the Big East's preseason player of the year.
