Southgate faced criticism after England's lacklustre performance in the 0-0 draw with Scotland on Monday.
But Foden has leapt to the defence of his manager ahead of Tuesday's clash with Czech Republic, which England must win to finish top of Group D.
"He's a great coach and working with him every day I get to see what he's like," Foden told talkSPORT. "He always has the players' backs and I believe that his tactics are great.
"All these negative people don't know what they're talking about because Gareth's a great coach. In training all the technical players like me and Jack so if I get the opportunity to play with him that's up to Gareth really.
"Everyone trains very well every day and whatever team he selects we're going to trust and back. Everyone plays differently, that's the depth we have in the squad. Everyone has different qualities.
"Jadon [Sancho], he loves one vs one situations, I'm more of a player who comes inside and tries to link the play and Gareth tries to pick the best XI for the team. Whatever we need in the next game he's going to pick the right players."
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