The Arsenal boss is among those on the bookmakers list to replace Roy Hodgson.
(L - R) Jake Humphrey, Ian Wright and Rio Ferdinand before the match
England will be on the hunt for their next permanent manager this summer after Roy Hodgson decided to leave his post.
He resigned on Monday evening after seeing the Three Lions knocked out of Euro 2016 by minnows Iceland at the last 16 stage of the competition.
England head coach Roy Hodgson
Who the English FA will appoint as his successor remains to be seen, with the job a highly coveted one in world football.
One man who is currently on the bookies’ lists is Arsenal manager Arsene Wenger, but Wright does not want to see his former boss take the job.
"I wouldn't want him [Wenger] as England manager," the Daily Star quotes him as saying.
"We've done the foreign manager and they haven't done anything for us. As much as Arsene Wenger's been unbelievable for Arsenal I'd rather it be someone like Gareth Southgate.”
Arsenal manager Arsene Wenger
It will certainly be interesting to see who England turn to try and fix the mess that Euro 2016 turned out to be.
The experiment of going with an older statesman has failed under Hodgson, who failed to get them out of the group stages at the World Cup and now saw this embarrassing loss to Iceland at the Euros.
That may sway the FA into thinking a young manager is the best choice, which may put the likes of Southgate, or even Eddie Howe, top of their list.
England U21 manager Gareth Southgate during the press conference