I don't understand why I cannot cut image in Photoshop. The cut command is disabled. I'm sure that I have selected the image. I can copy and paste, but just not cut.
It might be that your layer is a smart object try to right-click on your layer and click rasterize layer after then you could cut the photo. be careful to duplicate your smart object layer because once you rasterize it it won't be a smart object again so be aware to have a copy of the original once.