The ornamental design for sticker skin for game console, as shown and described.
FIG. 1 is a front elevational view of a sticker skin for game console showing my new design;
FIG. 2 is a rear elevational view thereof;
FIG. 3 is a left side elevational view thereof;
FIG. 4 is a front perspective view thereof, showing the sticker skin for game console in use; and,
FIG. 5 is a top perspective view thereof.
The broken lines showing of a game console in FIGS. 4 and 5, depict environmental structure of the sticker skin for game console that form no part of the claim.