Recently, novel phenomena have been discovered in a superfluid \(^4\) He pendant droplet, such as a large amplitude undamped oscillatory motion and a translational motion known as the Noether mode, as well as discretization of the dripping period. In the present paper, we report on an anomalous feature of the [2, 0] mode that the oscillation period is almost independent of the droplet volume, in contrast to the case for classical pendant droplets, whose oscillation period becomes longer as the droplet volume increases. This anomaly is another instance of novel dynamics in a superfluid pendant droplet that differ drastically from the classical case.