• On the machine you are connecting from install the Microsoft Online Services Sign-in Assistant module.

https://www.microsoft.com/en-us/download/details.aspx?id=41950

• Open PowerShell run as administrator.
• Allow remote signing.

Set-ExecutionPolicy RemoteSigned

• Set cached credentials. You need the global admin account credentials

$LiveCred = Get-Credential

• Setup parameters for the session.

$Session = New-PSSession -ConfigurationName Microsoft.Exchange -ConnectionUri https://outlook.office365.com/powershell-liveid/ -Credential $UserCredential -Authentication Basic -AllowRedirection

• Open a session.

Import-PSSession $Session

• Close a session.

Remove-PSSession $Session

https://www.codetwo.com/admins-blog/managing-outlook-rules-powershell/

• Get Inbox Rule

Get-InboxRule -Mailbox <mailbox_name>

Get-InboxRule –Mailbox <mailbox_user> | Select Name, Description | FL

• Remove Inbox rule

Remove-InboxRule -Identity <rule_name> -Mailbox <mailbox_name>

• Remove all Inbox rules

Get-InboxRule -Mailbox "Joe@Contoso.com" | Remove-InboxRule