Polarons confined in rectangular and parabolic quantum wells arestudied within the framework of the fractional-dimensional spaceapproach. In this scheme, the real confined `polaron plusquantum well' system is mapped into an effectivefractional-dimensional bulk in which the polaron behavesin an unconfined fashion, and the fractional dimension is essentially relatedto the degree of confinement of the actual system. Analyticalexpressions allowing a very simple estimation of thecorresponding polaron corrections are found. Thefractional-dimensional theoretical results are shown to be in reasonable agreement with previous more detailed calculations.