The paper investigated the impact of Fused Deposition Modeling (FDM) parameters on the process intensification of functional products manufacturing. FDM is a widely used method of additive manufacturing that allows to produce parts by deposition of thermoplastic material layer by layer. However, its applying in the production of functional products is rather limited. The paper discussed various combinations of FDM process parameters that would increase production rate of parts without reducing their quality characteristics. The object of research was additive manufacturing technology—Fused Deposition Modeling (FDM). The research subject was the regularities of FDM process parameters’ influence on the manufacturing time of parts. The paper examined the influence of different combinations of FDM process parameters (printing speed, layer height, infill geometry, and infill density) on the manufacturing time of products. The main factors affecting the manufacturing time were established. A regression equation was obtained which allowed predicting the influence of the FDM process parameters on the manufacturing time of parts. The study included an analysis of process parameters’ impact on the printing time, quality, and geometric accuracy of the resulting products. The authors put forward hypotheses about the rational values of process parameters to achieve the best results in the production of functional parts by FDM. The study can be useful for engineers and designers who create products by FDM, as well as to expand the scope of this method in the production of functional parts.