Or you can choose the Select & Mask function If you've CC to select it perfectly. See one of my best practice through this tool. https://www.quora.com/How-do-I-remove-a-black-background-in-Photoshop/answer/Md-Bakhtiar-Uddin-1
Another way to go through your approach. I mean I want to use the same tool that you tried, but before applying the tool I just want to make the image pixel a bit dark to make the difference from its background.
See the image below. Here you should convert your image as Smart Object.
Now see here the quick selection tool is going to select the full image.
So inverse it and copy via Ctrl+J
Don't worry it is not your targeted image, It is your Path. Now select it and go to the original image layer, hide the levels and inverse to select the outside of the original image, finally delete the background via Eraser Tool