Abstract We present a method for the measurement of parameters of elastic and inelastic interactions of charmonium with hadrons.In this technique, we use femtoscopic analysis of charmonium-hadron correlations POLLEN PLUS ENERGY 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 Fryer Accessories at the LHC, and we discuss the prospects for studies in STAR at RHIC and other experiments at the LHC.