Moyes could be set for a swift return to management after heading to Istanbul for talks over the vacant manager’s position.
Galatasaray have confirmed reports that the Scot has been in Istanbul to meet with president Unal Aysal, but described the talks as merely an exchange of ideas and said that Joachim Low and Jurgen Klinsmann are their top targets.
Despite finishing top of the Turkish Super Lig last season, Fenerbahce cannot compete in either the Champions League or Europa League in the coming campaign.
In July 2012, Uefa found the club guilty of match-fixing and banned them from competing in the European competitions for two seasons.
‘The president has given a speech about it,’ a Galatasaray spokesperson said.
‘He said that we just spoke with David Moyes and he said that he can come to Galatasaray but he is not one of the main targets for us.
‘They just spoke to each other, exchanging ideas – that it is it. It is true the president talked with David Moyes.
‘We are not in a rush, we are waiting for the end of the World Cup. The first two targets are Low or Klinsmann.’
Former Manchester City boss Roberto Mancini was sacked by the Turkish club earlier this month and now they are looking to the Glaswegian to fill the role.
The Scot is having discussions with Galatasaray chiefs and is giving serious consideration to making a move to Turkey as he looks to rebuild his reputation after the traumatic time he encountered at Old Trafford.
That said, he also knows his next job needs to be the right one after his brutal sacking at the Theatre of Dreams.
Moyes was fired from the Red Devils hotseat in April, with United languishing in 7th position.
He is known to be keen to manage a team in European competition after enjoying his experience in the Champions League last season, with Galatasaray fitting the bill.
It would be the fourth club he has managed in his career, after spells with Preston and Everton previously.
Galatasaray, who finished second in their domestic league and won the Turkish Cup under Mancini, have previously been managed by a Scot in Graeme Souness.
Souness spent a year in charge of the Istanbul club from 1995-96 and earned infamy when he planted a Galatasaray flag in the centre circle at the ground of arch-rivals Fenerbahce.