Strachan believes Pogba needs to "stop being an Instagram personality".
He told talkSport, “I think he has the highest transfer fee, is probably one of the highest earners and he is the captain.
“I'll tell you what you do then, you become the personality not on Instagram and not getting your picture taken, you become THE person, all round the club.
“You become the hardest worker, you become the best team-mate you can be, you set a standard that everybody follows. That's what you do when you're the captain at Manchester United.
“You're the best trainer, best player, most highly driven, that's your responsibility as a captain, but especially at Manchester United.
“When you are talking about the Messis, Ronaldos, Iniestas, and Silva they get man of the match [awards] on many occasions.
“For that type of personality with what you pay for and the hype, very rarely is Pogba the man of the match, where he takes the game by the scruff of the neck.
“Even when he's had a shot at goal, and someone says, 'well at least he's trying', he's had a shot. They're clutching at straws looking for things that he does great."