This article is based the results of two articles by Jitendra et al. (J. Pseudo-Differ. Oper. Appl. 14:Paper No. 5, 2023; J. Geom. Anal. 34:74, 2024). We are interested in proving the following Strichartz’s restriction inequality: For a given surface S embedded in \(\mathbb {R}^{d}\times \mathbb {R}^{n}\) with \(n+d\geq 2\) , for what values of \(1\leq p < 2,\) do we have \(\displaystyle \left (\int _S| \widehat f(\xi , \zeta ) |^2 h^2_\kappa (\xi )d\sigma (\xi ,\zeta )\right )^{\frac {1}{2}}\leq C \|f\|_{L^p_\kappa (\mathbb {R}^d\times \mathbb {R}^n)}? \) Here \(\widehat f\) is the Fourier-Dunkl transform of f \(\displaystyle \widehat f(\xi , \zeta ) = \frac {1}{c_\kappa (2\pi )^{n/2}}\int _{\mathbb {R}^n}\int _{\mathbb {R}^d} f(x, y) E_\kappa (-i\xi , x) e^{-iy \cdot \zeta } h^2_\kappa (x) dx dy, \) for all \((\xi , \zeta )\in \mathbb {R}^d \times \mathbb {R}^n\) with \(E_\kappa (\cdot , \cdot )\) denoting the Dunkl kernel. In particular, we prove Strichartz’s restriction theorem for the Fourier-Dunkl transform for certain surfaces, namely, the cone, paraboloid, sphere, and hyperboloid, and its generalization to the family of orthonormal functions. Finally, as an application of these restriction theorems, we establish respected versions of Strichartz estimates for wave propagator, Schrödinger’s propagator and Klein-Gordon propagator associated with the Dunkl-Laplacian. These restriction theorems generalize the Stein-Tomas and Strichartz’s restrictions theorems in the special cases.