The phrase "a request like that" is correct and usable in written English.
You can use it when referring to a specific type of request that has been made or is being discussed.
Example: "I can't believe you would make a request like that; it's completely unreasonable."
Alternatives: "such a request" or "a demand like that".
The captain explained that he couldn't grant a request like that.
Where those services drop off, when you want to get something complex — handle all my emails — that isn't gonna work for a request like that.
A request like that would be laughed at by the Congress and intensely opposed by a public that already intensely opposes an increase of 30,000 troops (and let me be clear: I'd certainly oppose that for all of the same well-grounded economic and military reasons that make such a massive deployment politically impossible).
How could anyone refuse a request like that?
"We've never had a request like that," said Sheik Moinuddin, a senior traffic engineer with the department.
Of course, before you go to your boss with a request like this, make sure that you're caught up on your work and excelling at your job.
Because Comey could handle this one of two ways: The president makes this request, and the first time Comey might say to him, 'You know, Mr. President, it's inappropriate for us to have this conversation, and I would appreciate if you would not make a request like this to me again.' That's a way to handle it that says very clearly to the president that this should never be repeated.
If they asked me, I would say, "Thank you, but no, I don't do that any more," which is my answer to every request like that I get.
The thing to keep in mind whenever you get a request like this, as I have, is that you have to make your client look good.
The number of hits weren't that impressive by today's standards but again you're talking with people that were used to thinking of contacts as phone, reprint requests, fax requests, something like that and it was clear that your ability to respond to requests for outside information via a website was just enormous compared to the things you could think about in the 1980s.
