We have investigated the feedback control of the cooperative dynamics of two coupled electrochemical oscillators that is induced merely by external noise. The interacting electrochemical cells are modeled with parameter values at which no autonomous oscillations occur, and each unit is forced by its own source of random fluctuations. Application of delayed feedback to only one of two subsystems is shown to be able to change the coherence and time scales of noise-induced oscillations either in the given subsystem or globally. It can also induce or suppress stochastic resonance under the certain conditions.