Tamim bin Hamad Al Thani has reportedly started to lose interest in the Ligue 1 giants - because media criticism is bad for his image.
Despite the Qatari billions turning the club into one of the most prestigious and marketable in the world, there is a feeling in the Middle East that "recognition is rare".However, each defeat - especially continued high-profile failure in the Champions League - sees huge amounts of mocking and criticism from fans and media.
Financial concerns are also feeding the owners' doubts.
More than a billion Euros have been paid in tax to the French government since the Qataris took charge eight years ago.
That tax bill is more than all of the German, Italian and Spanish top flight clubs combined.
Negotiations between Roma and Qatar Sports Investment, the holding company that owns PSG, are already underway.