A return to Goodison Park is of interest for the former Manchester United boss, who hinted he has other offers for a return to management
David Moyes would accept an offer to return as Everton manager, but hinted he has interest from other clubs.
Everton sacked Ronald Koeman last month after a 5-2 defeat to Arsenal left them in the Premier League's bottom three.
Moyes spent 11 years at Goodison Park before leaving for an ill-fated 10-month spell in charge of Manchester United ahead of the 2013-14 season.
The Scot has since endured disappointing spells in charge of Real Sociedad and Sunderland, the latter being relegated from the Premier League under his stewardship last season.