You can have the drop-down menu appear on click instead of the default on mouseover.

var a2a_config = a2a_config || {};
a2a_config.onclick = 1;

In WordPress, checkmark "Only show the menu when the user clicks the Share button" in Settings > AddToAny > Menu Options.

In Drupal, add the following JavaScript code to your "Additional JavaScript" box in Configuration > System > AddToAny > Additional Options.

a2a_config.onclick = 1;