As of Joomla 3.2.3 there is no way to reset Article hits, but there is a workaround.
Third party developers have made some solutions for reseting or changing the Joomla Article hit counter here.
It is also possible to edit the hits value directly in the database _content table (hits column).
When a Joomla Article is copied the hits value is also copied (not reset) and you may want to reset the hit count for the copied version.