When you try to save such an image, the background area of the image will no longer be transparent and turns into solid color; in most cases, white i.e. Color 2.

You’re also able to retain a transparent background—just leave everything the way it is, and refrain from adding a new background. Note that you can also blur a background in Photoshop.

I occasionally need to convert the background color of a particular image to be transparent so that the image looks better on medium with backgrounds of colors other than the image's original ...

Making the background transparent – sometimes referred to as "punching out the background" by graphic artists – is a straightforward task in Adobe Photoshop.

Remove the background image in your photos using Paint 3D in Windows & make it transparent or white. You can create a sticker, 3D model, and insert the image into another image.