  We study the iron-pnictide compound BaFe$_2$(As$_{1-x}$P$_x$)$_2$ for x
$\sim$0.23, with a doping concentration near quantum criticality and enhanced
nematic fluctuating state in the doping-temperature phase diagram. Transport
measurements confirm the presence of a magneto-structural transition at 60K
from the tetragonal to the orthorhombic phase, followed by a superconducting
transition below 16K. The temperature and polarisation dependent Raman spectra
reveal that there is a phonon mode at 211 cm$^{-1}$, followed by two broad
modes (BM) between 400 and 700 cm$^{-1}$, having an energy difference of 15
meV, in the temperature range between 300K and 80K. In the non-superconducting
state, the phonon mode exhibits expected polarization dependence as well as
temperature evolution due to anharmonicity, strong anisotropic and thermally
inert behaviour are observed for the BM. Electronic structure calculations for
doped and undoped BaFe$_2$As$_2$ show that while Fe $d_{xz}$ and $d_{yz}$
orbitals do not split in the tetragonal phase, the splitting energy is 13.5 meV
in the orthorhombic phase of the doped system, which is reasonably close to the
experimentally observed value of the energy separation of the BM. We believe
that reported BM possibly are the signature of electronic Raman scattering
involving the crystal field levels of $d$-orbitals of Fe$^{2+}$ due to local
breaking of the C$_4$ symmetry of the parent compound in the doped system.
