- Visit Apple Music Marketing Tools and search your artist name.
- You will see your artist name at the bottom, click on it.
- On the new page scroll a bit down and you will see “Content Link”. Click on “Copy Link”.
As described in here, you access to “+Add Blocks” menu and choose “Listen on Apple Music“.
On page that popup paste your copied artist URL:
Change “Listen On” text if you want and click on submit. You can see the added block on your bio link page: