Mourinho criticised Shaw's form and fitness during their up-and-down relationship at Manchester United.
But the new Roma coach told talkSPORT: “I found a boy after an incredible injury which risked his career.
"I found a boy with some fear and emotional scars.
“I was trying to improve mentalities, I was trying to make ambition and responsibility - to grow up.
“It was not easy for him and I have to admit that I pushed the players to their limits, and sometimes players are not ready to follow me.
“We had a good period. He has a lot of talent."
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