Neil Lennon and Sam Allardyce are both interested in the vacant manager role at Leicester, Sky sources understand.
Lennon, who played for the club between 1996 and 2000, would listen to Leicester if they decide to pursue an interim manager until the end of the season.
Former England manager Allardyce would also be interested in taking the role on either an interim or permanent basis.
Lennon left Hibernian last month by mutual consent, while Allardyce has been without a job in football management since departing Everton last summer after just a six-month spell in charge.
Leicester are on the hunt for a new manager after sacking Claude Puel on Sunday in the wake of Saturday's 4-1 home defeat to Crystal Palace.
The Frenchman lasted just 16 months at the King Power Stadium, and leaves the Foxes 12th in the Premier League, eight points above the relegation zone.
First-team coaches Mike Stowell and Adam Sadler have been placed in temporary charge and they could remain at the helm for the visit of Brighton in midweek.
Sky Sports News understands Leicester are beginning to compile a shortlist of who they wish to appoint next and they will take their time to get the right man, as they look for their fourth manager in almost exactly two years.
Roberto Martinez, Brendan Rodgers and Rafael Benitez are among a list of candidates, but the club are considering an interim appointment until the end of the season.