Requesting specific criteria for your booked room is indeed a service provided professional travel agents. My employer's corporate travel agency (Carlson Wagonlit) for instance provide a common selection of special requests as shown the in the picture below. Choosing one of these only indicates a preference, not a guarantee, since it's highly dependent on the yield management system / occupancy at the hotel. (There may be specific exemptions on whether it's binding, usually for persons with physical disabilities for instance, who may need an accessible room.)
Providing this kind of choice is considerably less common with many consumer online booking tools. However, in most cases you can phone / contact the hotel following the booking and make the request.
Having higher tier status on a hotel chain loyalty programme - if it belongs to one - may also help your chances of having your request fulfilled.
That said, I've mostly found that hotel checkin staff will try to ensure your request is met. Reminding them of it helps.