The Scot said he’d give the ex-Sunderland player a second chance if he shows “genuine remorse”.
Johnson was released last week after serving half of his sentence for sexual activity with a child in relation to kissing and grooming.
All clubs in League One and Two within commuting distance of his Co Durham home have reportedly confirmed they will not go near him.
But Strachan insists he should be allowed back into the game.
Speaking on Sky Sports The Debate, the former Southampton gaffer: “I would if he’s shown genuine remorse. Then I’d say, ‘right, let’s get on with it’.
“I would because I go back to what I believe in that everybody deserves a second chance – and he’s done his bit.
“What if we don’t allow him back in the game and his family are affected? His kids? We’ve got to think about that”
“People will think he’s done his three years – but this is for life. People will say ‘that’s that guy’.
“But he also still has to make a living for himself and his family.
“What if we don’t allow him back in the game and his family are affected? His kids? We’ve got to think about that.
“You cannot destroy his family and himself just because of what he did. He’s done his three years.
“We must forgive. I generally think we forgive most people if they show remorse.”
He added: “A lot of people will disagree with that, but will he get back into football? It’s difficult to have three years out and actually play football again.
“So, at the moment it’s a big question mark about whether he can reach the level of professional football again when, psychologically, (you don’t know) what damage it’s caused him, let alone physically.
“He’s served his time and he deserves to do whatever he does, wherever he can.
“He will get obstacles in football where people will not want him to be at their club. That’s happened before.”
A judge previously said the ex-Sunderland star caused the girl “severe psychological harm”.
And his ex Stacey Flounders, mum to their daughter Ayla, previously said Johnson had “destroyed the life we had”.