Remove a Subscriber from a Suppression List
By removing a subscriber from a suppression list, you enable that subscriber to again receive sends that the application previously did not send.
This information does not remove a subscriber's record from your account, and Marketing Cloud recommends avoiding deletion of the actual subscriber information.
Use the sample code below as a model for your own API call:
Sample SOAP Envelope
<soap:Body>
<UpdateRequest xmlns="http://exacttarget.com/wsdl/partnerAPI">
<Objects xsi:type="Subscriber">
<EmailAddress>example@example.com</EmailAddress>
<SubscriberKey>example@example.com</SubscriberKey>
<Lists>
<PartnerKey xsi:nil="true"/>
<ID>123456</ID>
<Action>delete</Action>
</Lists>
</Objects>
</UpdateRequest>
</soap:Body>