How to Deploy a Scikit-learn Model into the Cloud?
If you want to deploy a scikit-learn model to the cloud and be able to access it through an API, I am guessing that you will want to access the predict method.

The API

To build an API with python, the easiest is to use Flask or Django. I prefer Flask for these types of tasks because it has a simpler interface. Django offers you more lower-level control however.

You will have to create some route that the client will call by sending you the input data, and once you receive it on the server side, you'll just have to pass it through your Sklearn model, and send back the output to the client.

Run sklearn in the cloud

The other thing you need to take care of, is run Python on whatever cloud solution you'll use. In order to deploy your Flask/Django app, I would probably use Docker as it's well supported on many platform. Here is an example on how to deploy a Docker container on Azure