Tigers director of rugby Cockerill has also slammed reports that he used foul language towards RFU referee assessor Brian Campsall.
Reports had suggested the Tigers boss, and head coach Matt O'Connor, may face disciplinary action from the RFU over the manner in which they voiced their displeasure at the performance of international referee Wayne Barnes at Welford Road, as Leicester booked their place in a seventh straight Premiership final with an 11-3 win.
But Cockerill, seeking a hat-trick of league title as Tigers boss, revealed that he has spoken to Campsall and RFU referees' chief Ed Morrison and slammed allegations that he had used foul and abusive language as "poor journalism".
He said: "I want to state categorically that I did not use foul and abusive language and I was not aggressive towards Brian.
"I have spoken to him and Ed Morrison, the head of the RFU referees' unit, and they had no issue with my behaviour during the game or my attitude towards Brian.
"I take great offence in how it was reported, there was no foul and abusive language.
"I was not aggressive towards anyone, it was portrayed poorly and it was poor journalism.
"I refute all those claims that were pointed out to me in the Sunday, Monday and Tuesday newspapers.
"As far as I am concerned I have no case to answer, the allegations are untrue and I find it a little bit wrong that those things can be written and made up in a national newspaper when it is very high profile and I get slagged off and look to be a foul-mouthed yob when that is not the case."
Saturday's win has set up a Twickenham appointment with Saracens on May 28, but the Tigers face an anxious wait to see whether centre Manu Tuilagi will be available after his three-punch combination on Saints winger Chris Ashton.
Tuilagi should have been red carded, but both players were sin-binned over the incident on the recommendation of assistant referee Robin Goodliffe.
However, the RFU are expected to confirm that the Premiership's Young Player of the Year has been cited for the altercation.
And Cockerill expects the 19-year-old to be punished.
"He reacted poorly, he threw a punch and you can't do that. The rules say if you strike or punch a player you get a red card. I expect he will get a sanction," he said.
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