A trackback is one of three types of linkbacks, methods for Web authors to request notification when somebody links to one of their documents. This enables authors to keep track of who is linking, and so referring, to their articles. If you have a WordPress blog than you have probably seen your trackbacks getting mixed with your comments. Most of the WordPress templates now provide functionality to show trackbacks separately from you real comments while others don’t.
Delete all trackbacks from WordPress blog
Well it is a matter of choice, some bloggers like it while some don’t. Actually having trackbacks or removing is just a matter of choice as it doesn’t play a very important role in your Blog.
So if you are among those blogger who wants to remove all trackbacks from their blog then the plugin No Self Ping is the plugin you are looking for. No SelfPing Plugin disables intra-blog pinging.
To completely disable trackbacks and ping-backs in your blog go to Dashboard > Settings > Discussion and Turn Off “Allow link notifications from other blogs (pingbacks and trackbacks.)”
If you want to delete all present trackbacks than go to Dashboard > Comments and search for […] and it will show all the trackbacks on your blog. Now select all and Move To trash.