"前任者的特权" can be translated into English as "the privileges of the predecessor" or "the ex-holder's privileges".
"The privileges of the predecessor" emphasizes the rights or advantages enjoyed by the person who previously held a position or role.
"The ex-holder's privileges" specifically refers to the benefits or advantages granted to the individual who no longer holds that position.
Both expressions convey the idea of special rights or advantages that come with having previously occupied a certain position or role.