The ornamental design for a portion of a gaming console having an illuminatedregion, as shown and described.
The FIGURE is a front view of a portion of a gaming console having an illuminated region showing our new design.
The broken line showing of various regions, including the unshaded areas therein, is for illustrative purposes and forms no part of the claimed design. The difference in shading indicates a contrast of appearance between lit and unlit regions, and does not depict any particular color, texture, or material.