The phrase "acknowledge demands" is correct and usable in written English.
You can use it when referring to recognizing or accepting requests or requirements from others, often in a professional or formal context.
Example: "In order to maintain a positive relationship with our clients, it is essential to acknowledge demands and respond promptly."
Alternatives: "recognize requests" or "accept requirements".
Acknowledging demands from its students, the university has also renamed two buildings that formally bore the names of Georgetown presidents Rev. Thomas F. Mulledy and the Rev. William McSherry, who were involved in the sale.
It was unclear whether Mr. Bush's entreaties alone would have any significant effect on the price of oil, because, as the president acknowledged, demand continues to rise faster than supplies, especially in expanding markets in China and India, as well as the United States.
In a market where only Volkswagen acknowledges demand for a sub-$30,000 mid-size diesel sedan, Mazda has much room to grow.
To reconcile with someone, you must acknowledge his demands.
The Childbirth and Adoption Accommodation Policy is meant to acknowledge the demands upon new parents and provide them with the relief and support they need to successfully complete their academic programs.
In a way, the original sin of the 2016 Sanders candidacy may have been his failure to acknowledge the demands of the Black Lives Matter movement as unique from his blanket call for economic justice.
Administrators and campus officials have further fueled tensions by refusing to acknowledge the demands put forth by Students For Change.
Politicians here like to talk about border security, but they refuse to acknowledge the demands of human security: living wages, a society of laws, schools, housing, healthcare.
During the call Trump seems to acknowledge that demanding Mexico pay for the wall has backed him into a political corner, and asks that Nieto stop publicly stating that Mexico will not pay.
