Duncan Ferguson oversaw Everton training on Tuesday amid reports linking Wayne Rooney and Frank Lampard with the club’s vacant managerial post.
The Toffees are looking for a successor to Rafael Benitez after sacking the Spaniard on Sunday.
It has been reported that Rooney, the former Everton striker who currently manages Derby, and former Chelsea boss Lampard are set to interview for the job.
After following what was the team’s first training session since Benitez’s sacking on Tuesday, Ferguson could be in charge of the interim when they host Aston Villa on Saturday.
The Scot, another former Everton player who has been part of their coaching staff since 2014, was caretaker manager for three league games in December 2019 following the dismissal of Marco Silva, a win over Chelsea and games draws with Manchester United and Arsenal.
Benitez, who replaced Silva’s successor Carlo Ancelotti last summer, was sacked after Saturday’s 2-1 defeat at Norwich, leaving Everton with just one win and nine losses in 13 Premier League games.
They are 16th in the table, six points above the relegation zone with two games behind 18th-placed Norwich.
Their search for a replacement for Benitez saw Roberto Martinez, the Belgium head coach who was in charge at Goodison Park from 2013 to 2016, in contention.
It has been suggested that Everton are open to considering Martinez combining the two roles until at least the summer, but it’s not a solution Belgium seem to favor.
The Merseyside outfit were thought to be “putting out probes” with a number of names to try to get a sense of potential interest and availability before drawing up a formal shortlist.
Rooney, an Everton academy product who played twice for the club on either side of 13 seasons with Manchester United, has been in charge of Derby for just over a year.
The Rams’ battle for survival in the Championship this season after being deducted 21 points has seen them take 13 of the last 15 on offer – they are currently eight adrift of safety in 23rd place.
Lampard was Derby boss for the 2018-19 season, in which they were beaten in the play-off final, before taking charge of Chelsea the following summer. He was sacked in January 2021 and was subsequently unemployed.
Everton have been seeking a sixth permanent managerial position since owner Farhad Moshiri took over in 2016.