  In this paper, we focus on the quantization of $4-$dimensional rotating
linear dilaton black hole (RLDBH) spacetime describing an action, which emerges
in the Einstein-Maxwell-Dilaton-Axion (EMDA) theory. RLDBH spacetime has a
non-asymptotically flat (NAF) geometry. When the rotation parameter " $a$"
vanishes, the spacetime reduces to its static form, the so-called linear
dilaton black hole (LDBH) metric. Under scalar perturbations, we show that the
radial equation reduces to a hypergeometric differential equation. Using the
boundary conditions of the quasinormal modes (QNMs), we compute the associated
complex frequencies of the QNMs. In a particular case, QNMs are applied in the
rotational adiabatic invariant quantity, and we obtain the quantum entropy/area
spectra of the RLDBH. Both spectra are found to be discrete and equidistant,
and independent of $a-$parameter despite the modulation of QNMs by this
parameter.
