  We study the hadronic effects on the $cc\bar{q}\bar{q}$ tetraquark state by
focusing on the $T_{cc}(1^+)$ meson during the hadronic stage of relativistic
heavy ion collisions. We evaluate the absorption cross section of the $T_{cc}$
meson by pions in the quasi-free approximation, and investigate the time
evolution of the $T_{cc}$ abundance in the hadronic medium based on the
effective volume and temperature of the hadronic phase at both RHIC and LHC
modelled by hydrodynamic calculations with the lattice equation of state. We
probe two possible scenarios for the structure of $T_{cc}$, where it is assumed
to be either a compact multiquark state or a larger sized molecular
configuration composed of DD*. Our numerical results suggest that the hadronic
effects on the $T_{cc}$ production is insignificant, and its final abundance
depends on the initial yield of $T_{cc}$ produced from the quark-gluon plasma
phase, which will depend on the assumed structure of the state.
