The official is set to return to match duty on Sunday, when he will be fourth official for Tottenham's clash with West Ham, after the 37-year-old was found to be innocent of using "inappropriate language" towards Blues' midfielder John Obi Mikel in the match with Manchester United on October 28.
As well as Prospect condemning Chelsea for making the allegations in the first place, the organisation is also outraged that the west London club based their case on one witness, Ramires, and pursued it despite not knowing all the details.
"Chelsea have done a number of things wrong with this case," Prospect national secretary Alan Leighton told reporters. "Firstly, they made the allegation and the nature of it public on the Sunday of the match.
"Secondly, on the Wednesday after their detailed investigation they decided to go ahead with a formal complaint based on one single witness statement, from one person who supposedly heard the offending phrase.
|NO OPTION FOR CHELSEA
|COMMENT: The Blues must apologise to Mark Clattenburg and move on|
"Thirdly, they have not apologised to Mark, who has gone through hell. This is about an individual who has been badly wronged and there is not even recognition about what they have done to this referee and that is staggering."
Prospect is not currently considering legal action towards the Blues as it would rather that the club came out with a formal apology and pay Clattenburg damages. However, Leighton did not rule out taking action if there is no apology.
"That is not our intention at this moment," he stated. "Our intention is for something to happen that avoids any need for legal action.
"We have been calling for Chelsea to make an apology and pay compensation because it's the right thing to do.
"There needs to be some form of deterrent to stop clubs going ahead with stuff like this, which has no basis and impacts so badly on the referee," the representative continued.
"Our concern is it could happen from any club and is more likely to happen again if there is not some acceptance by Chelsea that this was wrong and shouldn't have happened."