  We explore the quasi-stationary profile of massive charged scalar field in a
class of charged black hole in dRGT massive gravity. We discuss how the linear
term in the metric which is a unique character of the dRGT massive gravity
affects structure of the spacetime. Numerical calculations of the quasinormal
modes are performed for the charged scalar field in the dRGT black hole
background. For asymptotically de Sitter (dS) black hole, an improved
asymptotic iteration method is used to obtain the associated quasinormal
frequencies. The unstable modes are found for $\ell=0$ case and their
corresponding real parts satisfy superradiant condition. For $\ell=2$, the
results show that all the de Sitter black holes considered here are stable
against a small perturbation. For asymptotically dRGT anti de Sitter (AdS)
black hole, unstable modes are found with the frequency satisfying superradiant
condition. Effects of massive gravity parameter are discussed. Analytic
calculation reveals unique diffusive nature of quasinormal modes in the massive
gravity model with the linear term. Numerical results confirm existence of the
characteristic diffusive modes in both dS and AdS cases.
