It largely stems from England's Euro 2020 final defeat to Italy, with the perception claiming that the Three Lions were too negative after taking the lead and failed to react to Italian changes.
The post, which was accompanied by a picture of Southgate celebrating England men's dramatic victory against the Netherlands on Wednesday night, has now been deleted.
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'Tough match yesterday, always hurts to come up just short but that's part of the game. Now all I can do is rest up, get back to work, and have a good flight home,' he wrote on social media.
CRAIG HOPE IN BLANKENHAIN: Gareth Southgate has built his backroom staff with care, and they are now once again on the verge of delivering history for the team and the nation.
IAN LADYMAN: Few teams get to the crest of a glorious wave without getting wet along the way. Gareth Southgate's England are no exception. Their journey to Berlin has had a few turning points.
Alvaro Morata and members of the Spain squad appeared in a relaxed mood as they took to the golfing green just days before their showdown with England in the Euro 2024 final.
Maatsen had initially been left out of the squad, learning of his omission just three days ahead of his participation in the Champions League final with Borussia Dortmund.
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Fans mocked John McGinn (right) after footage resurfaced of the Scotland midfielder telling his Aston Villa team-mate Ollie Watkins (left) that he wanted England to lose at Euro 2024.
Jurgen Klopp has reportedly rejected an approach made by US Soccer to take over coaching duties for the men's national team.
The England manager has faced criticism for his tactics during Euro 2024, with many raising eyebrows over his squad selections and decisions to make substitutions during games.
SAMI MOKBEL: The Special One met Watkins twice. Sources close to those meetings describe the Portuguese as being particularly enamoured by the forward's temperament.
Wimbledon semi-finalist Donna Vekic could not hold back her emotions on Centre Court.
Jasmine Paolini and Donna Vekic went blow for blow and played out an iconic Wimbledon semi-final for the history books.
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Celtic have rejected an initial bid from Atalanta for Matt O'Riley, with the Serie A club expected to make another offer.
Ireland captain Peter O'Mahony has dropped to the bench while Bundee Aki is ruled out for Ireland's second Test against South Africa in Durban on Saturday - live on Sky Sports.
Highlights from day two of the first Test between England and West Indies.