By default, when you create a Flow for a list or document library and without additional configuration, the Flow is going to be executed by our user. Fortunately, we can sort out this problem by adding additional “Run-Only” users to our Flow:
On My Flows setion in Flow, just clic on the Flow you want to configure. In the Flow settings page you will see there is section called “MANAGE RUN-ONLY USERS” where you can see the list of users or security groups that can run the Flow. From here, you can add new “Run-Only” users for your Flow:
In the configuration panel that opens, you will be able to add new users / security groups that can actually run your Flow. Just add the new users / security groups and you are done!