  In this paper, we investigate the thermodynamic properties of
Reissner-Nordstr\"om black holes embedded in higher $(d)$ dimensions in the
framework of rainbow gravity incorporating the effects of the generalized
uncertainty principle. We also examine all the properties graphically by
varying the rainbow gravity parameter $\eta$ and the generalized uncertainty
principle parameter $\alpha$. We find the existence of remnant and critical
mass of the concerned black hole. We calculate the local temperature, local
internal energy and hence we analyse the thermal stability of the black hole by
computing the local heat capacity. Further, we study the phase transitions of
the aforesaid black hole solution under the effects of generalized uncertainty
principle. From the analysis of the specific heat at the horizon, we observe
that there are phase transitions for all dimensions but when we analyze the
same, measured by the local observer, we find that there exist only two phase
transitions.
