The study of fluid-poroelastic structure interaction (FPSI) is of paramount importance due to its broad relevance in numerous practical applications such as biomedical engineering, geotechnics, and environmental modeling. In this talk, we will discuss our investigation into the FPSI problem in a moving domain, governed by the Navier-Stokes-Biot (NSBiot) system. We propose a fully parallelizable, loosely coupled scheme that enables efficient resolution of this coupled system. At each time step, the solution from the previous step approximates the coupling conditions at the interface, decoupling the original problem into separate fluid and structure subproblems, which are solved in parallel without requiring sub-iterations. We establish the robustness of this approach by deriving energy estimates for the linearized problem (Stokes-Biot system), demonstrating that the scheme is unconditionally stable with no restrictions on the time step size arising from physical parameters. Additionally, we show the first-order temporal accuracy of the method through two benchmark problems. To highlight the method's practical significance, we present numerical results for both 2D and 3D nonlinear NSBiot systems, showcasing its stability and effectiveness in modeling real-world applications. This study advances computational methods for fluid-poroelastic interactions, offering scalable and reliable solutions for complex, time-dependent problems.