Abstract We present a method for the measurement of parameters of elastic and inelastic interactions Multi-Tools of charmonium with hadrons.In this technique, we use femtoscopic analysis of charmonium-hadron correlations at low relative momentum and the Lednicky-Lyuboshitz analytical model to extract the interaction parameters.We argue that such a study is already feasible in the LHCb experiment at the Fitness Supplies LHC, and we discuss the prospects for studies in STAR at RHIC and other experiments at the LHC.