The phrase "acknowledge their willingness" is correct and usable in written English.
You can use it when discussing someone's readiness or openness to participate in something or agree to a proposal.
Example: "We appreciate the team’s effort to acknowledge their willingness to collaborate on this project."
Alternatives: "recognize their readiness" or "accept their openness".
Now many of those hard-line rebels -- known as CATS, for members of the Conservative Action Team -- have mellowed in tone and tactics, and have acknowledged their willingness to compromise or even accept failure so long as they can say the House tried.
Unfortunately, that's not an automatic option, but my sense of self-worth is deepened through providing for my family in the ways I can — cooking, cleaning, heck, even getting the car washed — while gratefully acknowledging their willingness to provide for me.
In yearly review hearings, the men are judged by their sexual tastes and fantasies -- or what psychiatrists suppose to be their fantasies -- as well as their performance on psychological tests, their attitudes toward authority and their willingness to acknowledge their crimes and disorders.
I see them, but it's like (being with) a ghost". The straightforward quality that comes through in Big Drill Car's music carries over in the members' unusual and refreshing willingness to acknowledge their creative failures and limitations.
Above all, ask them if the willingness of Americans to acknowledge their own failures before humanity doesn't light the world as surely as the great ideas and beliefs that made this nation a beacon of hope and liberty for all who strive to be free...
Before April 2003, when changes in federal law affected the willingness of physicians to acknowledge their care of our eligible participants, physicians (identified on the tumor registry reports) were contacted before case enrollment to obtain information that might contraindicate study participation, such as dementia.
Families of our patients are gratefully acknowledged for their willingness to participate in this study.
All the farmers participating in this study are acknowledged for their willingness to participate.
The authors would like to acknowledge patients for their willingness and Medical Laboratory Sciences and Pathology Department, Jimma University for allowing its laboratory facilities.
