Dielectric Pocket Double-Gate-All-Around (DP-DGAA) MOSFETs are one of the preferred choices for ULSI applications because of significantly low off-current, reduced power dissipation, and high immunity to short channel effect. However, DP-DGAA MOSFETs suffer from self-heating owing to the unavailability of proper heat take-out paths. In this paper, the electrothermal (ET) simulations have been performed with hydrodynamic and thermodynamic transport models to analyze the self-heating effects (SHEs) in DP-DGAA MOSFETs. The electrothermal characteristics against various device parameters such as spacer length, device thickness, thermal contact resistance, and drain voltage have been investigated. The effect of SHE on the drive current has also been evaluated. Further, the impact of thermal contact resistance and ambient temperature variations of the device on SHE and thermal noise have been analyzed using Sentaurus TCAD simulator.