If you acquiesce in something, you agree to do what someone wants or to accept what they do even though you may not agree with it. [formal]
Steve seemed to acquiesce in the decision. [V + in/to]
He has gradually acquiesced to the demands of the opposition. [V in/to n]
When her mother suggested that she stay, Alice willingly acquiesced. [VERB]
Synonyms: submit, allow, agree, accept