"successively appointed" is a correct and usable phrase in written English.
You would use it when talking about a succession of appointments or positions held by the same person. For example: She was successively appointed to the positions of Senior Manager, Director, and Chief Executive Officer over the course of her career.
Successively appointed bishop of Kamieniec Podolski (1586), Chełm (1590), Przemyśl (1591), and Poznań (1601), he was the only prelate who, in 1587, signed the Compact of Warsaw granting equal rights to all Poles in matters of religion.
Called to the bar in 1899, Simon built a large practice, entered the House of Commons as a Liberal in 1906, and was successively appointed solicitor general (October 1910), attorney general (October 1913), and home secretary (May 1915) by Prime Minister Herbert H. Asquith.
After the Conservatives regained power in 1951, he was successively appointed minister of housing and local government (October 1951) and minister of defense (October 1954) by Churchill and then served as foreign secretary (April December 1955) and chancellor of the exchequer (1955 57) under Sir Anthony Eden.
Ioan-Aurel Pop characterizes the following period as including "voidvodal dynasties": five members of the Lackfi family (father and four sons) were successively appointed between 1356 and 1376.
But it was as Benn's political adviser that she was projected into the heart of British politics, as Benn was appointed successively secretary of state for industry and then energy.
He went to Yan'an in 1937 and served in several official posts; he was appointed successively administrator of education of the Shaanxi-Gansu-Ningxia Border Region, dean of the Lu Xun Academy of Art and Literature, and president of Yan'an University.
After lectureships at University College, Aberystwyth, and London University, he was appointed professor, successively at the universities of Birmingham (1961-66), Lancaster (1967-82) and California (1976-98).
King Leopold II of Tuscany regarded him so highly that he appointed him, successively, counselor of state (1847) and minister of state (1848).
William J. Casey, whom Reagan had named director of central intelligence, appointed Mr. George to successively higher positions.
However, the manor was returned to the Archbishops of Rouen, who successively held the manor until 1316, when Edward II appointed Peter de Galicien custodian of the manor.
Masterson's final years were spent in New York City, where he was successively deputy U.S. marshal for the southern district of New York (appointed by President Theodore Roosevelt), feature writer for Human Life Magazine, and a prominent sports editor for the New York Morning Telegraph.
