Suppress "Allow my organization to manage my device" for personal devices

Hi,

Thanks for posting in Microsoft Q&A forum.

1,Here is a workaround for your reference. Add below registry key on one device to have a try:

HKLM\SOFTWARE\Policies\Microsoft\Windows\WorkplaceJoin, “BlockAADWorkplaceJoin”=dword:00000001
When using this registry, your users will no longer see this notification when they login to ex. Microsoft 365 apps or Microsoft Edge with another work or school account.

Similar threads for your reference:
Are you tired of “Allow my organization to manage my device”?
How to Prevent Allow My Organization to Manage My Device
Please note: The links are not from Microsoft, just for your reference.

2,You could also submit an uservoice for Microsoft Teams to stop this behavior :
Microsoft Teams feedback

Thanks for your time.

Best regards,
Simon

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There is no way to disable or hide this option on unmanaged devices when using the Intune service within your tenant. This is a feature which is related to the Azure AD registration service which gives the user the ability to register their (personal) device in the Azure AD tenant. When the device gets lost or stolen, your organization will then have the ability to remove access to the corporate data on that personal device.