The Liverpool manager, Brendan Rodgers, hopes the publication of the truth about the Hillsborough disaster will end disgraceful and tasteless chants by "idiots" at future matches.

The report of the Hillsborough Independent Panel revealed South Yorkshire police changed statements relating to the 1989 tragedy, when 96 fans died, in order to blame supporters. The prime minister, David Cameron, offered a "profound" apology on Wednesday to the families of those who died, telling the House of Commons that the report made clear "Liverpool fans were not the cause of the disaster".

The club and their fans have had to endure chants from rival supporters about the events at Hillsborough. Rodgers hopes such chants will now cease in the light of what has now been made public.

"I speak as a human being and I don't ever like to hear anything like that, whatever club it is, that associates with other people's tragedies and death," Rodgers said. "Unfortunately you have a very small percentage of idiots at any club who will always try to smear another club's reputation.

"Of course, it is obvious these are chants that no one wants to hear about any club. Unfortunately there are that minority of supporters who will maybe disappoint but let's hope we can all move on and we can all learn from this whole process."

Rodgers said the smear campaign that had been perpetrated against the fans was something that had gained a global foothold and he sympathised with what the families had faced up to.

"There is no doubt the propaganda at the time, if you were outside the city of Liverpool and its people, planted seeds throughout the country and the world," added Rodgers, who was among a number of club representatives who attended a vigil in the city on Wednesday night. "It is the people who have suffered over all the years who have had to contend with that and fight against that sort of relentless campaigning at the time.

"But having come into the city and been around the people and being at the vigil last night there has never been any qualms about any sort of justification. We have all suffered death in our lives but to have it happen to your son, daughter, brother, sister, and then have a campaign against that – you can't begin to imagine what that must feel like."