The unique characteristics of penta-graphene structures have captivated scientists.Through our tight-binding and Hubbard calculations, we have made a prediction that the penta-graphene monolayer acts as a semiconductor. Our findings demonstrate that by applying influences like a field parallel magnetic field and voltage bias the band gap of this material decreases. This ability to manipulate its properties holds promise for practical applications in electronics. In this study, we delve into the impact of fields parallel magnetic fields and voltage bias, on the thermal conductivity, electrical conductivity, and Seebeck coefficient of penta-graphene structure using the tight-binding, Hubbard model, and Green function approach. Our analysis explains that the penta-graphene structure is a p-semiconductor, which is changed to an n-semiconductor by on-site Coulomb repulsion. This strategy displays that thermal and electrical conductivity decreases under the effect of parallel magnetic fields. The results presented to control the thermoelectric and electronic properties of the penta-graphene structure can promise a great future for this material in the field of thermoelectric and nanoelectric devices application.