We investigate the physical properties of PdTeI single crystal containing quasi-one-dimensional (1D) PdTe chains. Surprisingly, we find that the carrier concentration decreases gradually before the long-range charge density wave (CDW) ordering state occurring at T-1 similar to 110 K, reflecting the existence of strong CDW fluctuation with possible pseudogap state at T >> T-1 because of dynamic charge separation of Pd ions (Pd3+ -> Pd2+ + Pd4+). Moreover, the sliding CDW state appears below T-2 similar to 6 K. Combining such low T-2 with the feature of multiple quasi-1D bands, PdTeI exhibits exotic crossover behavior from negative to huge positive magnetoresistance under magnetic field and field-induced localization. Thus, PdTeI provides a novel platform for studying the CDW fluctuation and the interplay between magnetic field and CDW state.