Users with read writes are not able to insert data in my SharePoint hosted app's List

I have SharePoint hosted app. In that I have created an List and I am managing data of that list using a form which I have created in my app page.

When I am inserting data with the user who has full rights in their SharePoint site are able to insert data. But the users who have read role in their SharePoint site they are not able to insert data from my list. Though the list is in myappweb and I have given Manage permission to the list and tenant in myAppManifest file.

What other ways I can do?

Is this possible?

Is there any other way that I can give permission only to my list that any user can manage it?

Thank you in advance...!