Create a new Layer above the image and pick a light blue.. fill that layer with the blue. Then set the layer Blending Mode to Hue.
Everything turns blue.
Add a mask to the color layer and mask away the hand....
Command/Ctrl-Click the mask thumbnail to load it as a selection. Create a new layer. Inverse the selection (Select > Inverse) and then fill the selection with the same blue. Set this layer's blend mode also to Hue.
Control/Right-click this blue hand layer in the Layers Panel (click near the name) and choose Blending Options from the pop up menu.
Note the 2 sliders at the bottom of the blending options window.
Moving the bottom left slider indicator the the right will cause the blue to blend with the original image (the layers below it). To split that slider arrow hold down the Option/Alt key when you click-drag and it will split apart. By splitting the slider you can control the drop in/out of the blend, making is softer. Play with the slider until you can eliminate most of the green glow on the hand, but keep as much of the red skin tones as possible.
With more care you can mask and blend the color on the hand better to smooth the transition to the green glows. There's really no quick and easy method to get rid of those glows without also altering the red of the hand, so careful masking would be better. This is merely a quick example of possibilities.