'I am glad we were able to come to an amicable agreement and I believe this is a fair resolution for the PCB and the ICC.'
The ICC Board in April decided that Pakistan could no longer host the 14 matches it was originally allocated because of the country's volatile internal security situation.
'When the position in Pakistan, from a safety and security point of view, becomes satisfactory to the ICC and its specialist security advisors as well as to visiting teams, then international cricket will return to Pakistan,' added Morgan.
Butt said that he was pleased with the outcome of Thursday's meeting.
'The PCB is content with the settlement that has been reached. We are able to see this dispute from the other side. We realise also the logistical and administrative difficulties that would be associated with organising our matches in the other three co-host countries.
'Our number-one priority is that cricket in Pakistan must not be allowed to suffer unduly and I believe this agreement is the best possible outcome for the game,' he said.