The paper studies stability properties of a class of switched neutral pantograph stochastic hybrid systems with Lévy noise of the form: \[ d[x(t)-D_{\xi(t)}(x(\rho t))] = f_{\xi(t)}(x(t), x(\rho t), u(t), t)dt + g_{\xi(t)}(x(t), x(\rho t), u(t), t)\] \[ dw(t) +\int_{\mathbb R}h_{\xi(t)}(x(t), x(\rho t), u(t), t, e)N(dt,de), \] where \(t\geq 0\), \(\rho\in(0,1)\), \(u\in \mathcal L_\infty^d\) stands for the disturbance, \(x(t)\in\mathbb R^n\) stands for the system state at time \(t\), \(\xi:\mathbb R^+ \to \mathcal N:=\{1,2,\ldots, N\}\) denotes the switching signal, functions \(f_i:\mathbb R^n \times \mathbb R^n \times \mathbb R^d \times \mathbb R^+ \to \mathbb R^n\), \(g_i:\mathbb R^n \times \mathbb R^n \times \mathbb R^d \times \mathbb R^+ \to \mathbb R^n\), \(h_i:\mathbb R^n \times \mathbb R^n \times \mathbb R^d \times \mathbb R^+ \times \mathbb R \to \mathbb R^n\) are continuous functions for all \(I\in\mathcal N\). Provided that all dynamical subsystems are input-to-state stability and under the linear growth hypothesis, sufficient conditions are established for the \(p\)-th (\(p \geq 1\)) moment polynomial integral input-to-state stability and \((t+1)^{\theta_0}\)-weighted integral input-to-state stability of the system.