In this study, a sawtooth-shape scalable frequency selective surface structure (FSS) for X-band applications is presented. The proposed FSS structure intended to be used in shielding of X-band satellite communication systems to reduce the interference effect is specifically tuned to be operated in 10-12 GHz band and it is aimed to have a stable response at oblique incidence. The scalable design allows tuning the operating band up to scale factor of 0.6 without changing its dimensions. The structure is analyzed for commonly used dielectrics and design parameters. The performance of the design is simulated using CST Microwave Studio in terms of resonance frequency stability at oblique incidence and bandwidth. From the results, the design of the FSS has stable performance as a band-stop filter at oblique angle variations between 0 degrees to 75 degrees in TE and TM modes.