But others, including Michael's Wham! collaborator Andrew Ridgeley, have urged fans to enjoy the material Michael had authorised in his lifetime.
When one fan suggested that a previously-unheard track should be released to raise money for Michael's preferred charities, Ridgeley tweeted: "No, #GM [George Michael] controlled all his output. I, nor anyone else have the right to transgress that principle."
The Wham! star also protested against a planned campaign by a tabloid newspaper to turn over the profit from sales of Careless Whisper to charity, arguing that one of Michael's solo songs would better represent his body of work.
As Mr Fawaz shared the song with the words "my baby", one fan said the unfinished Trojan Souls album: "What a gift that would be right now...such remarkable music, such a remarkable man...no words."
But she was quickly rebuked by another Michael admirer, who said: "I disagree really. George obviously never wanted us to hear it."
The singer's representatives have not yet confirmed plans for any future releases.
The debate comes as Michael's music flies up the charts following his death on Christmas Day.
Read More:
• 'Tacky' tweet shocks Carrie's fans
• Who will inherit George Michael's fortune?
Three of the top five albums on the iTunes chart are currently by Michael or Wham!, making up a total of 11 of the top 100.
A further 23 songs have made the singles chart, with Careless Whisper currently at number nine.
This article was originally published by The Telegraph.