'refused his request' is correct and usable in written English.
You can use it when someone has asked for something and was denied. For example: The boss refused his request for a raise.
But he said Diaz refused his request.
But I still wish President Obama had refused his request to resign.
The airline, in fact, refused his request for more information about what happened after the fact.
He said the government has previously refused his request for help with his security bills.
The Supreme Court on Wednesday refused his request for an appeal.
Arum said he did not seek it; Kushner said prosecutors refused his request.
She had refused his requests before.
The prosecution was built on false testimony, Mr. Navalny said, and the proceedings were railroaded through a provincial court that refused his requests for witnesses and outside experts.
But Mr. Lieberman's hearing made only limited headway because the Obama administration has refused his requests for witnesses from the F.B.I. and Defense Department.
A report by the court's public defense office said that Libyan prosecutors had prepared only vague and minor charges against Mr. Qaddafi, and refused his requests to see a lawyer or members of his family.
Joel Berger, a Citizens Union board member and a lawyer who has represented complainants at trials at police headquarters, said the department had refused his requests to make trial records public under state civil rights law.
