The man in charge of the Bob Woollier murder inquiry has described claims by Pakistan team spokesman PJ Mir that the World Cup party are not suspects as inaccurate.
The final members of the team left their London hotel last night to head back to their homeland as mystery continued to surround killing of their coach.
Mir told reporters outside the hotel in London that Jamaican police had confirmed team members were 'not suspects'.
However Jamaica's deputy police commissioner Mark Shields told BBC Radio: 'That is a pretty inaccurate statement because nobody at this stage could be ruled out of the inquiry.'
'I think probably he knows that, because we've had a number of conversations in the past with the Pakistan team - and I have to say this again, they have been nothing other than completely co-operative throughout the whole process.
'That worked very well. In fact, as many people know, two Pakistan diplomats arrived and that spirit of co-operation has continued throughout the whole process of the investigation so far.
'So I find it very surprising that statement should be made.'
A number of players, including captain Inzamam-ul-Haq, left a hotel on their way to nearby Heathrow Airport last night.
They walked calmly through media representatives, ignoring shouted questions, although one of the group, thought to be an official, answered the query 'are you pleased to be going home?' with 'of course we are'.
The players then got into a minibus to take them to the terminal.
Their departure after two days in London came as the police responsible for finding Woolmer's killer or killers dismissed reports that three men have been identified as suspects.
Shields warned stories identifying the trio were wide of the mark and unhelpful.
He said officers were not ready to name potential suspects and were keeping an open mind in an inquiry which may take years.
His comments came after several British newspapers named three fans who were apparently close to the Pakistani team and left the island shortly after the murder.
The men, one of whom is reported to be from London, are described as 'gofers', who supplied halal meat, provided transport and were seen at the players' hotel.
None of them have been seen since Woolmer, 58, was found strangled in his room on the 12th floor of the Pegasus Hotel, Kingston, 10 days ago.
Police are continuing the painstaking process of sifting through hours of CCTV footage, electronic door card records and internal phone calls at the hotel.
Officers want to interview everybody who was staying there, including players from the West Indies and Ireland.
Woolmer's body was found hours after his team suffered a humiliating World Cup defeat to Ireland.
There has been speculation that the death may be linked to match fixing, but members of the Pakistan squad said police should concentrate on finding the murderer.
Of reports three Pakistani fans were being sought, Mir said: 'I know one of the men very well. He came to watch the game and as the match was over, he left.'
He said to turn the man's departure into 'some sort of mystery' was completely unwarranted.
The spokesman also said he had met another of the men while the team were in Jamaica.
He said: 'He's an affluent businessman who lives in Kingston and he offered to send us some food so we could get halal and he was very good to the team.'
Eight members of the team left the hotel just after 2pm bound for a flight to Dubai.
One player, Yasir Arafat, left earlier yesterday morning for a flight to Islamabad.