Southgate got relegated with Middlesbrough during his only spell managing in the premier league and considering Euro 2024 might be his final tournament with Eddie Howe taking over. Would a top 6, mid table or team fighting relegation consider him for the manager? For top teams I could see Spurs, Liverpool or maybe Chelsea giving him a chance one day not immediately after the Euros of course. Villa, Newcastle, Brighton are probably good shouts
No top club would even consider him. I mean seriously, there is zero respect for him as a manager and the only reason he keeps his England job is that he supports his favorites and they return the favor. All of the clubs you mentioned except maybe Chelsea love their current manager, and the opinion on Poch is beginning to turn positive as they start to show some success.