Moving to PHP 7 require any system change with Drush or in Drupal GUI? I am using Drupal 8.2.3 and this is my question:

After moving a Drupal site from PHP 5.6 to 7.13, is it a best practice to changed something in the Drupal GUI or from Drush? It's a long story why I ask, but it is very important for me to know if any such action is needed.
No, there's no action that needs to be taken through the GUI or drush when you change PHP versions.