Shared web hosting integration

Hi, The shared web hosting server provider told me that my shared web hosting server doesn’t let for IP whitelisting but they still don’t know if my shared web hosting requires it to work right with Postman API to handle API requests to make and send a request, test any API endpoint, use HTTP POST requests to any APIs such as Google API & integrate Google’s technology with my shared web hosting without needing me to upgrade to above root access which is only available on VPS or Dedicated servers. Must I upgrade to above root access which is only available on VPS or Dedicated servers or using a shared web hosting server is enough? Thanks.