The Frenchman came out and lamented the attitude of his co-stars as United suffered a shock 3-2 loss away to Brighton last weekend.
"I find it very strange that Pogba, and it might have just been lost in translation mind, would come out when you're sitting in the dressing room potentially watching the TV," Strachan told Sky Sports.
"How would you feel knowing fine well you tried you're but you've had a stinker?
"We've all done that.
"Sometimes when you don't play well it looks like you're not trying.
"If you're trying your hardest and someone is saying 'by the way, we're not trying'.
"I don't know how I'd react to that."