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I have created a basic sharepoint hosted app using following microsoft tutorial. https://msdn.microsoft.com/en-us/library/office/fp142379.aspx#Code
It contains a basic list and default page. After deployment the app is available in site contents and works fine when i click on it but i can not add the app on page.
It is not available in the apps when i tried to add it on the page.
For your requirement you will need to create Client Web Part in your SharePoint Hosted App. When you add Client Web Part in your SharePoint Hosted App solution and deploy it then you will find your App in Insert >> App Part ribbon. You can use the default page that Client Web Part provide or else you can give path of your existing page that you already have been created in your App while adding Client Web Part.
You can find detail regarding how to create SharePoint Hosted App with Client Web Part here
Updated
If you are using SharePoint Provider Hosted App then in that case also the mechanism is same. You can add Client WebPart. You can find more detail here
Let me know whether it solves your problem or need more assist.
You will need to use the "Add-In Parts" functionality to add the this app to a page. Microsoft provides a tutorial here: https://msdn.microsoft.com/en-us/library/office/fp179921.aspx.
