  We show that the precise preparation of a quantum superposition between three
rotational states of an ultracold dipolar molecule generates controllable
interferences in their two-body scattering dynamics and collisional rate
coefficients, at an electric field that produces a F\"orster resonance. This
proposal represents a feasible protocol to achieve coherent control on
ultracold molecular collisions in current experiments. It sets the basis for
future studies in which one can think to control the amount of each produced
pairs, including trapped entangled pairs of reactants, individual pairs of
products in a chemical reaction, and measuring each of their scattering
phase-shifts that could envision ``complete chemical experiments" at ultracold
temperatures.
