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An optical-interferometric position sensor, cryogenic objective mirror, and piezo-driven cryogenic stage were fixed to an insert holder that was immersed in superfluid helium. The single-component design stabilized the three-dimensional position of the sample, with root-mean-square deviations of (x, lateral) 0.33\u00a0nm, (y, lateral) 0.29\u00a0nm, and (z, axial) 0.25\u00a0nm. Because of the millimeter working range of the optical sensor, the working range of the sample under the active stabilization was (x, y) 5\u00a0mm and (z) 3\u00a0mm in superfluid helium at 1.8\u00a0K. 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