The phrase "after numerous requests" is correct and usable in written English.
It can be used to indicate that something is happening following multiple appeals or demands for it to occur.
Example: "After numerous requests from the team, the manager finally agreed to extend the deadline."
Alternatives: "following many requests" or "after repeated appeals".
After numerous requests, we've installed a punching bag and slit it open.
After numerous requests, the couple even played it at their civil union last fall.
This month, after numerous requests by advocacy and news organizations, including The New York Times, Apple released the names of 156 of its suppliers.
Apple, no paragon of communication, has been publishing reports of the practices of its vendors since 2006, and it eventually, after numerous requests by advocacy and news organizations, shared the names of 156 direct suppliers.
After numerous requests from customers to add a non-dairy cheese to their menu, the UK arm of the company rolled out a test in a handful of stores throughout England.
After numerous requests for Brady to voice himself in the episode, he eventually agreed.
"We added the fee only after numerous pointed requests from law enforcement that we do so," Mr. Buckmaster said.
Mr. González said his commission was inspired to investigate the system after receiving numerous requests from human rights advocates and civil society organizations.
A Phoenix TV spokeswoman said it was granted access to the men after making "numerous requests to the relevant authorities" but declined to give further details on where, when or under what conditions the interviews were conducted.
We recently decided to expand our educational services after receiving numerous requests from non-DICON affiliated hospitals for access to individual components of our growing list of educational resources.
Yankovic included "Harvey the Wonder Hamster", a short tune from one of his Al TV appearances, after receiving numerous requests to include it on an album.
