Carlos Carvalhal's men secured their first win in six Championship games when they beat Nottingham Forest 3-0.
Newcastle United lost against Leicester City in the Premier League on Monday.
The likes of Lee Wallace and Jason Holt were left out by Gordon Strachan.
Everton have improved in at least one area since last season.
Andy Carroll has scored three goals for West Ham United in the Premier League this season.
Nottingham Forest have won just once in their last six matches.
Newcastle United, Sunderland and Norwich City are all in danger of getting relegated to the Championship.
Paul Merson says that Everton have better players than Leicester City.
Rangers manager Mark Warburton has spoken highly of Gers trio Kenny Miller, Lee Wallace and Dean Shiels.
The Israel international has been linked with a Premier League move.