Is this zizaco/entrust peimission package support for Laravel 7 or it's outdated now?

This package is only supporting until Laravel 5.x.

Laravel already has a build-in system for permissions checks or authorization. They are called policies and gates. You can read more about it in the docs

Documentation: https://laravel.com/docs/7.x/authorization

There are alternative packages like this one: https://github.com/spatie/laravel-permission