"kindly requests" is correct and usable in written English.
You can use it when you are asking someone to do something in a polite and courteous manner. For example: "She kindly requests that all attendees arrive at least half an hour before the start of the event."
In lieu of flowers, the family kindly requests donations to the JCB Memorial Fund at Columbia Business School.
The family kindly requests that donations in memory of Phyllis support an undergraduate scholarship for a student interested in journalism at the University of Pennsylvania.
Such is the scope of his vision, says the prime minister, that his party kindly requests another ten years in government.Must a conscientious voter read all 110 pages?
In lieu of Shiva gifts or flowers, the family kindly requests that donations be made to the Steven's Institute of Technology, Castle Point on Hudson, Hoboken, NJ 07030.
The family kindly requests all donations be made to the Mercantile Library, 17 East 47th St, NY, NY 10017, (212) 755 6710.
In lieu of shiva baskets or gifts, the family kindly requests that a donation be made to the Jewish Family Services of Northern NJ, or the Chilton Memorial Hospital Foundation in Pompton Plains, NJ.
Therefore, we kindly request that you not flush anything.
The N.F.L. has kindly requested you forget how many times you have been here before.
In the event of fire, the audience is kindly requested to blacken quietly.
There is a note from Jean Paulhan on show, kindly requesting authors to "throw away nothing, tear nothing up, burn nothing".
In this connection, you are kindly requested to send official correspondence to the address: 189e Chelyuskintsiv St, Donetsk".
