Venkys have so far refused to comment publicly since boss Michael Appleton was sacked on Tuesday after just 67 days in charge.
He was the third full-time boss to leave the Lancashire club this season following Steve Kean in September and Henning Berg in December.
Reserve team boss Gary Bowyer is to take charge for the rest of the season and try and steer Rovers away from the Championship relegation zone.
The Rovers fans are increasingly angry at Venkys, who have seen the side drop from mid-table in the Premier League to the lower reaches of the Championship during their two-and-a-half year tenure.
Their reluctance to comment on the latest managerial departure has simply added to the supporters' frustration.
Wayne Wild, co-chairman on the Rovers Trust, a body formed to try and open lines of communication between the fans and the board, has urgently called for any form of dialogue with the fans from the club's hierarchy.
"It's been one bad decision after another," Wild told the Lancashire Telegraph. "Henning Berg had been out of work for a year before he got the job. Who made that decision?
"We took on Appleton, who had just joined another club. He was another inexperienced manager, and - apart from beating Arsenal in the cup, results haven't gone our way.
"You can only blame the people who make the decisions. When they sacked Henning Berg at least there was some sort of communication when [Global advisor] Shebby Singh was doing phone-ins.
"Personally, I believe we won't know whether a decision is right or wrong until we know what happens next. If they get an experienced manager in, or if they give it Gary Bowyer full-time and he does a good job, the decision will be the right one.
"But at the moment the fans just need to know what's going on."