if sth such as an important job or a special right or advantage is in sb's gift, that person can decide who to give it to
be in the gift of sb
if sth such as an important job or a special right or advantage is in sb's gift, that person can decide who to give it to
All such posts are in the gift of the managing director (= only given by the managing director).
Definitions from the Oxford Advanced Learner's Dictionary, 9th edition