Indeed, that is the GameBoy Color Palette.
However, please be aware that you can only use a limited number of colors from that Palette at once, and those colors are split between Background colors and Sprite colors. The total number of onscreen colors at any one time, is 56. (That's much better than the NES' 24! Not to mention the NES only had 56 colors total, as opposed to the GBC's 32k.)
King Tetiro, you are incorrect. What you have posted is simply a collection of colors from the GBC Zelda games (likely LADX, OoA, and OoS). That is not, in fact, the GBC palette. For one thing, it doesn't include any of the faded colors (i.e. the scene in OoA when everything slowly turns blue, or when the screen fades to white when opening the menu, etc.), and for another, it is far too uneven in its choice of colors.
Edit: It appears I have misread. The original post does mention the requirement of "specific colors used for Zelda GBC games". However, my statement still stands, that such a small collection of colors from the GBC Zelda games would be insufficient as a GameBoy Color palette. If you are looking for authenticity to the GBC Zelda games, it is perhaps preferable to simply rip sprites from the game, and otherwise be creative.