Manager Kean, as well as club owners Venky's, have been the target of supporters' protests this season - with attention also turning on Anderson, who was involved in the process which saw the Indian company buy the club.
Anderson criticised the protesters during an interview with Sky Sports earlier this week and has now issued a statement over comments posted on the website of the Lancashire Evening Telegraph. The newspaper suspended the comments section on Rovers stories on Thursday, but has since reinstated it.
In his statement, posted on the website of his company the Sport Entertainment and Media Group, Anderson wrote: "I wish to assure all fans at Blackburn Rovers Football Club that despite the contents of many posting's (sic) that have appeared, I do not have any role or involvement with the club.
"At the request of the Trustees (of the Jack Walker Settlement), I was asked to assist them to find a buyer for their club. I was able to introduce a number of potential buyers to the Trustees and the Trustees chose the Venky's Group as their preferred purchasers.
"In January 2011 I was requested by the owners to assist the club during that transfer window. I or SEM did not receive any payment whatsoever for any extended contracts for the players and neither have I or SEM ever received any payment whatsoever for the transfer of Ruben Rochina.
"At the conclusion of the January 2011 transfer window I ceased to assist Blackburn Rovers Football Club in any capacity and I can confirm that I have not had any role or influence in their transfer policy or any other business of the club whatsoever since that date.
"Unfortunately, within the last few months I and members of my family and staff have received abusive messages and threats that are unjustified and without foundation.
"As a result of the abuse and threats that have been made, I have been left with no alternative but to consult my lawyers however, I remain of the opinion that those football fans that genuinely care for the club will ensure that such abuse and threats to both me and my family will now stop."