Celtic have signed Crossan from Dunfermline on a three-year contract, as announced on the Glasgow giants’ official website on Monday.
Dunfermline chairman McArthur has said that he is happy to see the 17-year-old forward join the Scottish Premiership giants.
McArthur, though, has admitted his disappointment at some media reports regarding the compensation fee.
“I would like to wish PJ well in his future career at Celtic, which is naturally a fantastic opportunity for him,” McArthur told Celtic’s official website.
“I would also like to thank Celtic for their assistance in this matter to ensure the matter could be resolved amicably.
“However, the only disappointing aspect is the wholly inaccurate reporting in recent days relating to the agreed compensation figure, which will remain confidential.
“This is at a time when our particular club continues to need the support of our wider community and fan base, and such misleading information is extremely unhelpful.”
Crossan featured mostly for Dunfermline’s Under-20 side last season and made his breakthrough into the first team towards the end of the 2015-16 campaign.
The Scottish youngster featured in Dunfermline’s wins against Stranraer and Brechin City last season.
Due to Crossan’s age and relative lack of experience, he is unlikely to be part of Celtic’s first-team plans next season.
The youngster is very talented and hugely promising, and the Hoops probably see him as part of their long-term plans.
Perhaps Celtic should loan him out to a lower league club for the 2016-17 campaign for him to get valuable first-team and competitive experience.