I hate construct's sprite sheet support with a passion - the complete lack of any.
Construct have sprite sheet support.
You can load a sprite sheet in construct.
After you create a sprite go to animation.
Right click on the frame and select import frames.
Pick the sprite sheet you want.
Then click "open".
A window will pop up.
You can then set the "tile width" and "tile height" to what ever size the frames will be.
Then "click cut into tiles", and click "import".
And their you have it spite sheet imported.