In the present paper, we analyse analytic continuation of weighted $q$-Genocchi numbers and polynomials. A novel formula for weighted $q$-Genocchi-zeta function $ ilde{zeta}_{G,q}(s{mid}{alpha})$ in terms of nested series of $ ilde{zeta}_{G,q}(n{mid}{alpha})$ is derived. Moreover, we introduce a novel concept of dynamics of the zeros of analytically continued weighted $q$-Genocchi polynomials.