<p>Since the discovery of a superconducting state in La₃Ni₂O₇ with <i>T</i>_<i>c</i> = 80 K under high pressure, numerous experimental and theoretical studies have been initiated on this material. In this paper, we study the candidate superconducting states in this system, i.e., interlayer <i>s</i>-wave pairing and intralayer <i>d</i>-wave pairing, in response to the parallel magnetic field. We find that the interlayer <i>s</i>-wave state effectively screens the parallel magnetic field, thereby forming a Fulde-Ferrell (FF) state. Conversely, the intralayer <i>d</i>-wave state cannot efficiently screen the magnetic field, leading to minor perturbations in the spatial distribution of the order parameters. We propose a method utilizing Josephson junctions to distinguish these two distinct superconducting states. Our findings are anticipated to enrich the understanding of superconducting phases.</p>