Mr Barron argued that the search giant was doing its best to comply with the ECJ's ruling, which stated that links to web pages can be removed from search engine if they are deemed to be "outdated, irrelevant or no longer relevant".
The ruling has come under particular scrutiny after BBC economics editor Robert Peston was notified that a blog post he had written in 2007 would be removed from appearing when a specific search was carried out on Google.
Rory Cellan-Jones reports: ''The right to be forgotten imposed on Google... is now swinging into action''
The identity of the person who made the request is not yet known, although Google has confirmed it is not the subject of the article, former Merrill Lynch boss Stan O'Neal.
Instead, the request relates to the reader comments that appear underneath the story.
In addition to Peston's blog, seven other BBC articles were singled out for removal, most of which included comment threads.