Sky Sports News understands the former Watford boss initially accepted Stoke's offer, subject to the contract details. Stoke's preferred candidate for the gig was Espanyol's Quique Sanchez Flores, erstwhile of Watford.
Asked if he had received an offer from Stoke, the 52-year-old Spaniard told a post-match press conference as reported by the Spanish media: "I'm not going to talk about me on such an important day for Espanyol".
"I live in a big city, in one of the best leagues, and I have reason to be happy and not to live anxious".
Russell said: "It's been a bit hard with a manager gone who is really well-respected in the club".
"The facts are what matter and nothing else". Football brings up these kind of situations where clubs ask. here at Espanyol it is hard to move someone.
"It happened three weeks ago with Gerard Moreno, but we have to think that we are happy with Espanyol".
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"We like the connection (with the club), how they treat us, I like that Espanyol are growing".
Early discussions were encouraging, but they will now turn their attention back to Republic of Ireland boss Martin O'Neill after Flores' change of heart.
"Everything I need, I have here".
First-team coach Eddie Niedzwiecki will take charge of Monday's Premier League game against Manchester United at Old Trafford.