"in answer to requests" is correct and usable in written English.
You can use it when you are responding to someone who has made a request. For example: "In answer to requests, we have decided to extend the deadline for the project."
Aereo says this new site is in part an answer to requests it has received from its users regarding how they might be able to help the startup in terms of spreading the word about the service, how it works and what its legal position is relative to the broadcasters who would see it shut down.
In answer to these requests, drones are flying over demonstrators in Sarajevo.
In March 1915, the Commission, with the support of the Red Cross, began to dispatch photographic prints and cemetery location information in answer to the requests.
Mr. Sullivan writes a letter to Mr. Roger H. Loughran, general chairman of the Ulster County Apple Blossom Festival, in answer to a request to help develop apple culture.
In answer to his request to speak to the doctor, the switchboard operator said, "He was here, but he got sick and had to be rushed home immediately".
The New Yorker, April 23 , 1938P. 18 Mr. Sullivan writes a letter to Mr. Roger H. Loughran, general chairman of the Ulster County Apple Blossom Festival, in answer to a request to help develop apple culture.
She has received a letter from the associate headmaster in answer to her request for an explanation of an obscure point in an earlier letter she got from him.
Government man received the following communication from the Dept. of Interior in answer to a request for an official definition of the term "Preference Customer:"… To 23rd Street and vicinity in the early nineties, Huyler' meant just one place-on Broadway, near Eighteenth St.
Government man received the following communication from the Dept. of Interior in answer to a request for an official definition of the term "Preference Customer:" The broad question of preference customer qualification is one which is not well suited to discussion in generalities & on the basis of hypothetical considerations.
Asking for simple directions provides a handy illustration of the DR: If a stranger (speaker) tells you to turn right at the next corner in answer to your request to find a gasoline station, you are justified in accepting the assertion without being told you how the speaker knows it.
