The France international travelled to the capital to seal a transfer to Les Parisiens earlier this week, with PSG defender Milan Bisevac moving the other way to Stade Gerland.
Whilst the Serbian's switch materialised, Carlo Ancelotti's side announced that the 32-year-old Frenchman would not be joining the club, leaving OL president Aulas bemused.
"I try to understand. I want to know what happened, for us there was no problem," the club president told Nice-Matin.
"They [PSG] used this to cancel the transfer. It isn't very good for us, and more annoying for [Reveillere]. He will soon pass an in-depth medical review at Lyon."
Reveilliere joined Les Gones in 2003, going on to make more than 260 league appearances for the side.