The phrase "asks for the name" is correct and usable in written English.
You can use it when referring to a request for someone's name in various contexts, such as conversations, forms, or inquiries.
Example: "During the interview, the candidate asks for the name of the person who would be their direct supervisor."
Alternatives: "requests the name" or "inquires about the name."
For example, if the security question asks for the name of the hospital in which you were born, your answer might be: "Your favorite song lyric".
The principal is impressive and her son has autism so she knows what's needed, but the application form warns that the school "upholds the Catholic ethos" and asks for the name of your parish and priest, if applicable.
It is best that Smith make reference to no names but 'Jones' & 'Brown-that by phone references be made as 'an acquaintance' unless Brown asks for the name, & that the only other pertinent personality reference for him to make would be to the 'personnel official in the part of the Agency in which 'my acquaintance' is employed.
Also, in the course of imitating Facebook's success story, StudiVZ limited its platform population strategy to universities before opening up to the general public at a later time (Smaboo asks for the name of the university the applicants attend but doesn't verify the given information at the time of submission).
It asks for the "name of 'Real Man' who hurt your sensitive little feelings," "name little sissy filing this report".
Someone asks for the name of a good painter, or house cleaner, or lawn maintenance company, and they get recommendations.
If the employer asks for the names of two referees, then they want two.
Foster's memo asks for the names of study section members who approved the grants and the scores they gave.
The form asks for the names, stage names, phone numbers, and addresses of all promoters and artists participating in an event.
