The interaction of excitons with the travelling strain and piezoelectric field arising from a surface acoustic wave (SAW) remains an unexplored area of research. Here, we investigate the photoluminescence from monolayer WSe₂ at room temperature under strong piezoelectric field generated by surface acoustic wave in lithium niobate (LiNbO₃). The travelling piezoelectric field triggers strong dissociation of neutral and charged excitonic species accompanied by an efficient quasiparticle conversion process. From our measurement, we estimate the in-plane polarizability of neutral excitons in monolayer WSe₂ under strong dielectric screening from polar LiNbO₃ substrate to be (11±0.45)X10^-6 Dm/V. We further demonstrate controlled exciton-acoustic wave interaction by using layered hexagonal boron nitride (hBN) spacer.