If you want to cut or delete the selection you have to rasterize the layer: right click on the layer and choose Rasterize Layer. Another option is to use layer mask on Smart Object layer for see-through or cut effect. This is even better, non destructive option.
Use the Magic Eraser
Like the Magic Wand tool, the Magic Eraser tool can remove big sections of background with similar colors with one click or tap. Select or press and hold on the Eraser tool, and then select the Magic Eraser. Click any background elements you want to remove, and it will delete them.
- You can change the Tolerance value for the Magic Wand tool between clicks. ...
- To undo the results of the last click made with the Magic Wand tool or to undo the last use of the Similar command, press Ctrl-Z/Cmd-Z.
Open the image you want to edit in Photoshop. You can then use either of these 3 methods outlined below.
- Zoom at the object you want to remove.
- Select the Spot Healing Brush Tool then Content Aware Type.
- Brush over the object you want to remove. Photoshop will automatically patch pixels over the selected area.
On Windows, press Ctrl+D to deselect the selected area. On Mac, press Command+D. Photoshop will immediately deselect the selected area on your photo.
Pressing the Ctrl key, you can click, or click-and-drag to deselect any cells or ranges within a selection. If you need to reselect any of those cells, continue holding the Ctrl key and reselect those cells (for Mac, use the Cmd key).
When you're done with your selection outline and no longer need it, you can remove it by going up to the Select menu at the top of the screen and choosing Deselect, or you can press the keyboard shortcut Ctrl+D (Win) / Command+D (Mac).
Select the Object Selection tool in the Toolbar and drag a loose rectangle or lasso around the item you want to remove. The tool automatically identifies the object inside the area you define and shrinks the selection to the object edges.
Make an automatic selection with the Magic Wand tool
Select the Magic Wand tool in the Tools panel. In the Options bar, uncheck Contiguous if you want to select nonadjacent areas of similar color. Leave Contiguous checked if you want to select only adjacent areas of similar color.
Select the part of the image which you want to cut out, and then go to Layer > New Layer > Layer via Cut/Copy, and voila!
The Magic Wand tool will select matching elements. You can add to your selection by holding down shift and clicking another part of the image which has elements you want selected. If you have selected too many elements, press Alt (Windows) or Option (macOS) and click to remove items.
Using any selection tool, click New Selection in the options bar, and position the pointer inside an existing selection border. The pointer changes to indicate that you can move the selection .