High energy γ-ray spectra measured by our group involving the compound nuclei (CN) 63 Cu at excitation energy (E * ) ∼ 36 MeV with average angular momentum (J) = 12 -17h, 97 Tc at E * ∼ 29 -50 MeV with J = 12 -14h, 113 Sb at E * = 109 MeV and 121 MeV with J = 49 -59h and 201 Tl at E * = 39.5, 47.5 MeV with J = 18 -24h have been analyzed utilizing the level density prescriptions of (i)Ignatyuk, Smirenkin and Tishin (IST), (ii)Budtz-Jorgensen and Knitter (BJK), and (iii) Kataria, Ramamurthy and Kapoor (KRK). These three prescriptions have been tested for correct statistical model description of high energy γ-rays in the light of extracting the giant dipole resonance (GDR) parameters at low excitation energy and spin where shell effects might play an important role as well as at high excitation energy where shell effects have melted. Interestingly, only the IST level density prescription could explain the high energy γ-ray spectra with reasonable GDR parameters for all the four nuclei.