Graham Potter has reportedly already decided on his next job after missing out on a return to the Premier League recently.
The 49-year-old has been out of work since parting ways with Chelsea back in 2023.
His successor, Mauricio Pochettino, has also left Stamford Bridge and has already seen the role filled by former Leicester City boss Enzo Maresca.
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Potter was listed as one of the favourites to take charge at the King Power Stadium following Maresca's exit to West London, although the Foxes have gone in another direction.
The former Brighton and Hove Albion boss held talks with Leicester but they went collapsed further down the line amid rumoured frustration from the Foxes with Potter.
The East Midlands club, who will return to the Premier League next season after suffering relegation in 2022/23, have now announced the appointment of Steve Cooper.
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After missing out on the Foxes job, Potter has now set his sights firmly on another role - which could become available in the coming months.
Southgate's current deal with the national team will expire at the end of this year and Potter is willing to wait for the job to become available.
However, the FA have no plans to sack Southgate if he does fail to secure the Henri Delaunay Cup, with FA chief executive Mark Bullingham considering a contract extension for the former Middlesbrough boss. They are eager for him to lead the squad in the 2026 World Cup which will be held in the USA, Canada and Mexico.
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He had previously been linked with the OGC Nice role earlier in the year, with new Manchester United minority owner Sir Jim Ratcliffe said to be an admirer of the English tactician.
Topics: Graham Potter, England, Gareth Southgate, Euro 2024, Chelsea, Leicester City, Premier League