It sounds like you’re trying to install conda packages into the root environment and you don’t have permissions to do that. You should check to see where conda is installed and verify this.
I would recommend one of the following to resolve the issue:

setting up a conda environment: https://conda.io/docs/user-guide/tasks/manage-environments.html 36 and installing things into the environment. This is good practice and helps separate multiple projects
reinstall conda somewhere in your home directory where you have permissions to modify it