Sunderland are considering Real Sociedad manager David Moyes as they look for Dick Advocaat’s successor but he is not near the top of their list.
The 19th-placed Black Cats want a wide range of options to replace the Dutchman, who quit on Sunday.
They are hoping to name a new boss before their next Premier League game at West Brom on 17 October.
Available pair Sam Allardyce and Nigel Pearson and Burnley manager Sean Dyche are leading the bookmakers’ odds.
Sunderland have yet to win a league game this season.
Former Everton and Manchester United boss Moyes, 52, has been in charge of Real Sociedad since November, but they are only above La Liga’s relegation places on goal difference.
The other contenders
Allardyce, 60, had a season at Sunderland as a player in 1980-81. He has spent most of the past 14 years managing in the Premier League, with Bolton, Newcastle, Blackburn and West Ham, who did not renew his contract this summer.
Pearson, 52, was sacked by Leicester in the summer despite guiding the club to Premier League safety with seven wins from their last nine games.
The dismissal was linked to Pearson’s son’s role in a racist sex tape in the Leicester owners’ homeland of Thailand.
Dyche guided Burnley into the Premier League two years ago but was unable to keep them there last season.
The Clarets are sixth in the Championship and after the 2-1 win at Rotherham on Friday, Dyche was unwilling to speak about the Sunderland situation.
“It’s nothing to do with me,” he said. “My focus is here.”
Meanwhile, it has emerged West Ham manager Slaven Bilic tried to talk Advocaat out of quitting after his side’s 2-2 draw at the Stadium of Light on Saturday, the Dutchman’s final game in charge.
“I told him I would like to stay,” Bilic told the West Ham website. “He is a man full of energy and passion. The Premier League will be worse off without him.”