Create user on Azure elastic database and deny view to other databases i same setting
Reading you comment I see now what you are looking for.

Here is how you can do this.

Create 2 empty database:

USE [master]
GO
CREATE DATABASE [TestPerm1]
GO
ALTER DATABASE [TestPerm1] SET COMPATIBILITY_LEVEL = 130
GO


USE [master]
GO    
CREATE DATABASE [TestPerm2]
GO    
ALTER DATABASE [TestPerm2] SET COMPATIBILITY_LEVEL = 130
GO


Create 2 login 

USE [master]
GO    
CREATE LOGIN [testPerm1] WITH PASSWORD=N'strongPw', DEFAULT_DATABASE=[master], DEFAULT_LANGUAGE=[us_english], CHECK_EXPIRATION=OFF, CHECK_POLICY=OFF
GO

USE [master]
GO    
CREATE LOGIN [testPerm2] WITH PASSWORD=N'strongPw', DEFAULT_DATABASE=[master], DEFAULT_LANGUAGE=[us_english], CHECK_EXPIRATION=OFF, CHECK_POLICY=OFF
GO


Create a user in master using one of the login

USE [master]
GO
CREATE USER [testPerm2] FOR LOGIN [testPerm2] WITH DEFAULT_SCHEMA=[dbo]
GO


Using SSMS connect with user testPerm2 using default setting. You will be able to see all database ( I know you do not want this, but hang on)



Create a user with testPerm1 in testPerm1 database that we created earlier.

USE [TestPerm1]
GO
CREATE USER [testPerm1] FOR LOGIN [testPerm1] WITH DEFAULT_SCHEMA=[dbo]
GO


Now using SSMS connect to the server by changing default database, this user will only see testPerm1 but not testPerm2.