acquiesce to (something)
To yield or succumb to one's requests or demands. After a long negotiation, the company acquiesced to the union's demands. I don't want to relocate, and my husband finally acquiesced to my wishes.
acquiesce to someone or something
to give in to someone or someone's wishes; to agree, perhaps reluctantly, to someone's ideas or requests. We are willing to acquiesce to your demands.