Here’s the IAM policy you’ll need to change Route 53 DNS records. Substitute with your own hosted zone id.

{
   "Statement":[{
      "Effect":"Allow",
      "Action":["route53:ChangeResourceRecordSets"],
      "Resource":"arn:aws:route53:::hostedzone/*HOSTEDZONEID*"
      }
   ],
   "Statement":[{
      "Effect":"Allow",
      "Action":["route53:GetChange"],
      "Resource":"arn:aws:route53:::change/*"
      }
   ]
}

Add to policy to a user.