Bale has netted 14 goals in 31 outings for Real this season, but has been accused of selfish play and jeered at the Bernabeu of late.
Coleman, though, has no doubt the €100 million-signing will maintain his focus.
"He can handle that no problem at all," Coleman is quoted as saying by BBC Sport. "I'm not worried about him.
"If you go to Madrid for that amount of money and you know that the spotlight is on you then you can either handle it or you can't handle it.
"In his first season they won the Champions League, which was their holy grail - and he was a huge part of that campaign.
"It's his turn now to get some criticism. It won't bother him. He'll be fine. He'll get through it."