To turn Embeds on or off:

Instagram app for Android and iPhone:
Tap

or your profile picture in the bottom right to go to your profile.
Tap

in the top right, then tap
Settings.
- Tap Account, then tap Embeds.
- Tap [toggle icon] next to Allow people to embed your posts or profile on other websites to turn the setting on. Tap [toggle icon] to turn it off.

Instagram.com from a computer:
Click
More in the bottom left, then click
Settings
.
- Click Privacy and Security.
- Below Embeds, click to check the box next to Allow people to embed your posts or profile on other websites to turn the setting on. Uncheck the box to turn it off.

Instagram.com from a mobile browser:
Tap your profile picture in the bottom right to go to your profile.
Tap

at the top.
- Tap Privacy and Security.
- Below Embeds, Tap to check the box next to Allow people to embed your posts or profile on other websites to turn the setting on. Uncheck the box to turn it off.
If your content or profile is already embedded on a third-party website, it may take time for the embedded link to no longer be visible on that website.
Switching your account from public to private will also turn off the Embeds setting.
Note that turning off the Embeds setting only prevents your content from being embedded on third-party websites. If your profile is public, others can still view and interact with your content in other ways.