'I belong to Espanyol. "I'm well, absolutely content with my situation", Flores told Sky Sports on Saturday.
However the name that appeared at the top of the clubs wanted list was Espanol manager Quique Sánchez Flores.
In any event, both Stoke's plans and O'Neill's contract situation with the FAI have been shrouded in confusion once again as Irish football's governing body await Stoke's next move.More news: Watch Taylor Swift's New "End Game" Video with Ed Sheeran and Future
'We feel happy. We are in a happy place and we don't want to break that up'.
On Wednesday, the Potters sent a delegation to Barcelona to meet Flores in the hope of securing a deal.
Martin O'Neill is the other name in the frame but, contrary to previous plans, he attended the Soccer Writers' Association of Ireland annual awards banquet in Dublin on Friday night, suggesting he expects to remain as Republic of Ireland manager. I have a contract and I am honest with the club.
Stoke sacked Hughes last week following their humiliating FA Cup defeat at Coventry and Eddie Niedzwiecki has been in temporary charge since, taking training ahead of Monday's Premier League clash with Manchester United at Old Trafford.