Record Type Visibility Permissions for Users

The following table displays the permissions required by users for approval record types:

Record Type Visibility	Enabled
Approval_Process__c.ApprovalProcess	TRUE
Approval_Process__c.EntryCriteria	TRUE
Approval_Process__c.FinalAction	TRUE
Approval_Process__c.InitialSubmissionAction	TRUE
Approval_Process__c.Instance	TRUE
Approval_Process__c.Step	TRUE
Approval_Process__c.StepFilterCriteria	TRUE
Approval_Process__c.StepGroup	TRUE
Approval_Process__c.StepGroupAction	TRUE

For information on setting record type visibilities, refer to this Salesforce article.