England's current manager during the UEFA Nations League is Lee Carsley, who is serving as an interim coach for the team.
Carsley managed a 2-1 loss to Greece and a comfortable win over Finland this international break.
Per The Standard, the FA are checking whether the likes of Pep Guardiola want the job.
Thomas Tuchel, Eddie Howe, and Graham Potter are said to be the other candidates.
Getting City manager Guardiola would be a huge coup for England, given his track record at every team he has managed.