FIG. 1 is a top, front, and left perspective view showing our new design for a palm-top remote control apparatus;

FIG. 2 is a right side elevation view thereof;

FIG. 3 is a rear elevation view thereof;

FIG. 4 is a bottom plan view thereof; and,

FIG. 5 is a top, front, and left perspective view showing our new design for a palm-top remote control apparatus, with the apparatus opened, shown in full line, with the broken line matter being for illustrative purposes only and forming no part of the claimed design.